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Finding the Fourth Proportional to 1,248.85, 1,874.36 and 518.41

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Solution

The fourth proportional to 1,248.85, 1,874.36 and 518.41 is: 778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.85 : 1,874.36 = 518.41 : x
  2. Step 2: Convert to fraction form
    1,248.85/1,874.36 = 518.41/x
  3. Step 3: Cross multiply
    1,248.85x = 1,874.36 × 518.41
  4. Step 4: Simplify right side
    1,248.85x = 971,686.97
  5. Step 5: Solve for x
    x = 971,686.97/1,248.85
  6. Step 6: Final answer
    x = 778.07

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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.