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Finding the Fourth Proportional to 1,046.14, 1,569.39 and 498.10

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Solution

The fourth proportional to 1,046.14, 1,569.39 and 498.10 is: 747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.14 : 1,569.39 = 498.10 : x
  2. Step 2: Convert to fraction form
    1,046.14/1,569.39 = 498.10/x
  3. Step 3: Cross multiply
    1,046.14x = 1,569.39 × 498.10
  4. Step 4: Simplify right side
    1,046.14x = 781,713.16
  5. Step 5: Solve for x
    x = 781,713.16/1,046.14
  6. Step 6: Final answer
    x = 747.24

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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.