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Finding the Fourth Proportional to 747.64, 1,031.55 and 467.77

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Solution

The fourth proportional to 747.64, 1,031.55 and 467.77 is: 645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.64 : 1,031.55 = 467.77 : x
  2. Step 2: Convert to fraction form
    747.64/1,031.55 = 467.77/x
  3. Step 3: Cross multiply
    747.64x = 1,031.55 × 467.77
  4. Step 4: Simplify right side
    747.64x = 482,528.14
  5. Step 5: Solve for x
    x = 482,528.14/747.64
  6. Step 6: Final answer
    x = 645.40

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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.