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Finding the Fourth Proportional to 732.52, 1,011.14 and 480.48

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Solution

The fourth proportional to 732.52, 1,011.14 and 480.48 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.52 : 1,011.14 = 480.48 : x
  2. Step 2: Convert to fraction form
    732.52/1,011.14 = 480.48/x
  3. Step 3: Cross multiply
    732.52x = 1,011.14 × 480.48
  4. Step 4: Simplify right side
    732.52x = 485,832.55
  5. Step 5: Solve for x
    x = 485,832.55/732.52
  6. Step 6: Final answer
    x = 663.23

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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.