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Finding the Fourth Proportional to 734.78, 1,014.09 and 424.22

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Solution

The fourth proportional to 734.78, 1,014.09 and 424.22 is: 585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.78 : 1,014.09 = 424.22 : x
  2. Step 2: Convert to fraction form
    734.78/1,014.09 = 424.22/x
  3. Step 3: Cross multiply
    734.78x = 1,014.09 × 424.22
  4. Step 4: Simplify right side
    734.78x = 430,197.26
  5. Step 5: Solve for x
    x = 430,197.26/734.78
  6. Step 6: Final answer
    x = 585.48

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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.