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Finding the Fourth Proportional to 741.71, 1,023.69 and 462.06

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Solution

The fourth proportional to 741.71, 1,023.69 and 462.06 is: 637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.71 : 1,023.69 = 462.06 : x
  2. Step 2: Convert to fraction form
    741.71/1,023.69 = 462.06/x
  3. Step 3: Cross multiply
    741.71x = 1,023.69 × 462.06
  4. Step 4: Simplify right side
    741.71x = 473,006.20
  5. Step 5: Solve for x
    x = 473,006.20/741.71
  6. Step 6: Final answer
    x = 637.73

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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.