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Finding the Fourth Proportional to 734.76, 1,014.03 and 420.12

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Solution

The fourth proportional to 734.76, 1,014.03 and 420.12 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.76 : 1,014.03 = 420.12 : x
  2. Step 2: Convert to fraction form
    734.76/1,014.03 = 420.12/x
  3. Step 3: Cross multiply
    734.76x = 1,014.03 × 420.12
  4. Step 4: Simplify right side
    734.76x = 426,014.28
  5. Step 5: Solve for x
    x = 426,014.28/734.76
  6. Step 6: Final answer
    x = 579.80

Related Problems

Find fourth proportional to 367.38, 507.02 and 210.06
Half scale
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Double scale
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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.