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Finding the Fourth Proportional to 732.72, 1,011.12 and 417.98

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Solution

The fourth proportional to 732.72, 1,011.12 and 417.98 is: 576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.72 : 1,011.12 = 417.98 : x
  2. Step 2: Convert to fraction form
    732.72/1,011.12 = 417.98/x
  3. Step 3: Cross multiply
    732.72x = 1,011.12 × 417.98
  4. Step 4: Simplify right side
    732.72x = 422,627.94
  5. Step 5: Solve for x
    x = 422,627.94/732.72
  6. Step 6: Final answer
    x = 576.79

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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.