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Finding the Fourth Proportional to 732.70, 1,011.65 and 467.53

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Solution

The fourth proportional to 732.70, 1,011.65 and 467.53 is: 645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.70 : 1,011.65 = 467.53 : x
  2. Step 2: Convert to fraction form
    732.70/1,011.65 = 467.53/x
  3. Step 3: Cross multiply
    732.70x = 1,011.65 × 467.53
  4. Step 4: Simplify right side
    732.70x = 472,976.72
  5. Step 5: Solve for x
    x = 472,976.72/732.70
  6. Step 6: Final answer
    x = 645.53

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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.