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Finding the Fourth Proportional to 747.86, 1,031.75 and 464.14

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Solution

The fourth proportional to 747.86, 1,031.75 and 464.14 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.86 : 1,031.75 = 464.14 : x
  2. Step 2: Convert to fraction form
    747.86/1,031.75 = 464.14/x
  3. Step 3: Cross multiply
    747.86x = 1,031.75 × 464.14
  4. Step 4: Simplify right side
    747.86x = 478,875.03
  5. Step 5: Solve for x
    x = 478,875.03/747.86
  6. Step 6: Final answer
    x = 640.33

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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.