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Finding the Fourth Proportional to 734.76, 1,013.94 and 424.12

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Solution

The fourth proportional to 734.76, 1,013.94 and 424.12 is: 585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.76 : 1,013.94 = 424.12 : x
  2. Step 2: Convert to fraction form
    734.76/1,013.94 = 424.12/x
  3. Step 3: Cross multiply
    734.76x = 1,013.94 × 424.12
  4. Step 4: Simplify right side
    734.76x = 430,032.23
  5. Step 5: Solve for x
    x = 430,032.23/734.76
  6. Step 6: Final answer
    x = 585.27

Related Problems

Find fourth proportional to 367.38, 506.97 and 212.06
Half scale
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Double scale
Find fourth proportional to 735.76, 1,015.32 and 425.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.