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Finding the Fourth Proportional to 1,046.13, 1,569.04 and 635.15

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Solution

The fourth proportional to 1,046.13, 1,569.04 and 635.15 is: 952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.13 : 1,569.04 = 635.15 : x
  2. Step 2: Convert to fraction form
    1,046.13/1,569.04 = 635.15/x
  3. Step 3: Cross multiply
    1,046.13x = 1,569.04 × 635.15
  4. Step 4: Simplify right side
    1,046.13x = 996,578.09
  5. Step 5: Solve for x
    x = 996,578.09/1,046.13
  6. Step 6: Final answer
    x = 952.64

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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.