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Finding the Fourth Proportional to 747.52, 1,031.04 and 463.84

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Solution

The fourth proportional to 747.52, 1,031.04 and 463.84 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.52 : 1,031.04 = 463.84 : x
  2. Step 2: Convert to fraction form
    747.52/1,031.04 = 463.84/x
  3. Step 3: Cross multiply
    747.52x = 1,031.04 × 463.84
  4. Step 4: Simplify right side
    747.52x = 478,235.02
  5. Step 5: Solve for x
    x = 478,235.02/747.52
  6. Step 6: Final answer
    x = 639.76

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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.