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Finding the Fourth Proportional to 694.14, 1,042.02 and 488.13

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Solution

The fourth proportional to 694.14, 1,042.02 and 488.13 is: 732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.14 : 1,042.02 = 488.13 : x
  2. Step 2: Convert to fraction form
    694.14/1,042.02 = 488.13/x
  3. Step 3: Cross multiply
    694.14x = 1,042.02 × 488.13
  4. Step 4: Simplify right side
    694.14x = 508,641.22
  5. Step 5: Solve for x
    x = 508,641.22/694.14
  6. Step 6: Final answer
    x = 732.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.