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Finding the Fourth Proportional to 1,578.71, 2,178.62 and 870.53

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Solution

The fourth proportional to 1,578.71, 2,178.62 and 870.53 is: 1,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.71 : 2,178.62 = 870.53 : x
  2. Step 2: Convert to fraction form
    1,578.71/2,178.62 = 870.53/x
  3. Step 3: Cross multiply
    1,578.71x = 2,178.62 × 870.53
  4. Step 4: Simplify right side
    1,578.71x = 1,896,555.16
  5. Step 5: Solve for x
    x = 1,896,555.16/1,578.71
  6. Step 6: Final answer
    x = 1,201.34

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Why These Related Problems?

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