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Finding the Fourth Proportional to 732.70, 1,011.17 and 417.84

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Solution

The fourth proportional to 732.70, 1,011.17 and 417.84 is: 576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.70 : 1,011.17 = 417.84 : x
  2. Step 2: Convert to fraction form
    732.70/1,011.17 = 417.84/x
  3. Step 3: Cross multiply
    732.70x = 1,011.17 × 417.84
  4. Step 4: Simplify right side
    732.70x = 422,507.27
  5. Step 5: Solve for x
    x = 422,507.27/732.70
  6. Step 6: Final answer
    x = 576.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.