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Finding the Fourth Proportional to 1,578.71, 2,178.56 and 870.55

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Solution

The fourth proportional to 1,578.71, 2,178.56 and 870.55 is: 1,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.71 : 2,178.56 = 870.55 : x
  2. Step 2: Convert to fraction form
    1,578.71/2,178.56 = 870.55/x
  3. Step 3: Cross multiply
    1,578.71x = 2,178.56 × 870.55
  4. Step 4: Simplify right side
    1,578.71x = 1,896,545.41
  5. Step 5: Solve for x
    x = 1,896,545.41/1,578.71
  6. Step 6: Final answer
    x = 1,201.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.