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Finding the Fourth Proportional to 1,248.61, 1,872.99 and 518.24

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Solution

The fourth proportional to 1,248.61, 1,872.99 and 518.24 is: 777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.61 : 1,872.99 = 518.24 : x
  2. Step 2: Convert to fraction form
    1,248.61/1,872.99 = 518.24/x
  3. Step 3: Cross multiply
    1,248.61x = 1,872.99 × 518.24
  4. Step 4: Simplify right side
    1,248.61x = 970,658.34
  5. Step 5: Solve for x
    x = 970,658.34/1,248.61
  6. Step 6: Final answer
    x = 777.39

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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.