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Finding the Fourth Proportional to 742.37, 1,024.25 and 462.51

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Solution

The fourth proportional to 742.37, 1,024.25 and 462.51 is: 638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.37 : 1,024.25 = 462.51 : x
  2. Step 2: Convert to fraction form
    742.37/1,024.25 = 462.51/x
  3. Step 3: Cross multiply
    742.37x = 1,024.25 × 462.51
  4. Step 4: Simplify right side
    742.37x = 473,723.55
  5. Step 5: Solve for x
    x = 473,723.55/742.37
  6. Step 6: Final answer
    x = 638.13

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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.