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Finding the Fourth Proportional to 1,046.92, 1,569.18 and 560.20

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Solution

The fourth proportional to 1,046.92, 1,569.18 and 560.20 is: 839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.92 : 1,569.18 = 560.20 : x
  2. Step 2: Convert to fraction form
    1,046.92/1,569.18 = 560.20/x
  3. Step 3: Cross multiply
    1,046.92x = 1,569.18 × 560.20
  4. Step 4: Simplify right side
    1,046.92x = 879,054.64
  5. Step 5: Solve for x
    x = 879,054.64/1,046.92
  6. Step 6: Final answer
    x = 839.66

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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.