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Finding the Fourth Proportional to 1,252.22, 1,877.92 and 521.60

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Solution

The fourth proportional to 1,252.22, 1,877.92 and 521.60 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.22 : 1,877.92 = 521.60 : x
  2. Step 2: Convert to fraction form
    1,252.22/1,877.92 = 521.60/x
  3. Step 3: Cross multiply
    1,252.22x = 1,877.92 × 521.60
  4. Step 4: Simplify right side
    1,252.22x = 979,512.38
  5. Step 5: Solve for x
    x = 979,512.38/1,252.22
  6. Step 6: Final answer
    x = 782.22

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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.