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Finding the Fourth Proportional to 1,520.15, 2,278.46 and 687.04

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Solution

The fourth proportional to 1,520.15, 2,278.46 and 687.04 is: 1,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.15 : 2,278.46 = 687.04 : x
  2. Step 2: Convert to fraction form
    1,520.15/2,278.46 = 687.04/x
  3. Step 3: Cross multiply
    1,520.15x = 2,278.46 × 687.04
  4. Step 4: Simplify right side
    1,520.15x = 1,565,395.59
  5. Step 5: Solve for x
    x = 1,565,395.59/1,520.15
  6. Step 6: Final answer
    x = 1,029.76

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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.