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Finding the Fourth Proportional to 1,251.15, 1,877.18 and 521.24

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Solution

The fourth proportional to 1,251.15, 1,877.18 and 521.24 is: 782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.15 : 1,877.18 = 521.24 : x
  2. Step 2: Convert to fraction form
    1,251.15/1,877.18 = 521.24/x
  3. Step 3: Cross multiply
    1,251.15x = 1,877.18 × 521.24
  4. Step 4: Simplify right side
    1,251.15x = 978,449.31
  5. Step 5: Solve for x
    x = 978,449.31/1,251.15
  6. Step 6: Final answer
    x = 782.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.