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Finding the Fourth Proportional to 1,046.52, 1,569.61 and 388.70

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Solution

The fourth proportional to 1,046.52, 1,569.61 and 388.70 is: 582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.52 : 1,569.61 = 388.70 : x
  2. Step 2: Convert to fraction form
    1,046.52/1,569.61 = 388.70/x
  3. Step 3: Cross multiply
    1,046.52x = 1,569.61 × 388.70
  4. Step 4: Simplify right side
    1,046.52x = 610,105.93
  5. Step 5: Solve for x
    x = 610,105.93/1,046.52
  6. Step 6: Final answer
    x = 582.99

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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.