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Finding the Fourth Proportional to 1,578.82, 2,178.76 and 870.64

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Solution

The fourth proportional to 1,578.82, 2,178.76 and 870.64 is: 1,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.82 : 2,178.76 = 870.64 : x
  2. Step 2: Convert to fraction form
    1,578.82/2,178.76 = 870.64/x
  3. Step 3: Cross multiply
    1,578.82x = 2,178.76 × 870.64
  4. Step 4: Simplify right side
    1,578.82x = 1,896,915.61
  5. Step 5: Solve for x
    x = 1,896,915.61/1,578.82
  6. Step 6: Final answer
    x = 1,201.48

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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.