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Finding the Fourth Proportional to 1,251.76, 1,877.71 and 521.41

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Solution

The fourth proportional to 1,251.76, 1,877.71 and 521.41 is: 782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.76 : 1,877.71 = 521.41 : x
  2. Step 2: Convert to fraction form
    1,251.76/1,877.71 = 521.41/x
  3. Step 3: Cross multiply
    1,251.76x = 1,877.71 × 521.41
  4. Step 4: Simplify right side
    1,251.76x = 979,056.77
  5. Step 5: Solve for x
    x = 979,056.77/1,251.76
  6. Step 6: Final answer
    x = 782.14

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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.