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Finding the Fourth Proportional to 1,499.30, 2,249.40 and 525.17

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Solution

The fourth proportional to 1,499.30, 2,249.40 and 525.17 is: 787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.30 : 2,249.40 = 525.17 : x
  2. Step 2: Convert to fraction form
    1,499.30/2,249.40 = 525.17/x
  3. Step 3: Cross multiply
    1,499.30x = 2,249.40 × 525.17
  4. Step 4: Simplify right side
    1,499.30x = 1,181,306.15
  5. Step 5: Solve for x
    x = 1,181,306.15/1,499.30
  6. Step 6: Final answer
    x = 787.91

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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.