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Finding the Fourth Proportional to 1,399.78, 2,098.13 and 577.61

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Solution

The fourth proportional to 1,399.78, 2,098.13 and 577.61 is: 865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.78 : 2,098.13 = 577.61 : x
  2. Step 2: Convert to fraction form
    1,399.78/2,098.13 = 577.61/x
  3. Step 3: Cross multiply
    1,399.78x = 2,098.13 × 577.61
  4. Step 4: Simplify right side
    1,399.78x = 1,211,900.87
  5. Step 5: Solve for x
    x = 1,211,900.87/1,399.78
  6. Step 6: Final answer
    x = 865.78

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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.