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Finding the Fourth Proportional to 1,399.88, 2,098.28 and 566.60

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Solution

The fourth proportional to 1,399.88, 2,098.28 and 566.60 is: 849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.88 : 2,098.28 = 566.60 : x
  2. Step 2: Convert to fraction form
    1,399.88/2,098.28 = 566.60/x
  3. Step 3: Cross multiply
    1,399.88x = 2,098.28 × 566.60
  4. Step 4: Simplify right side
    1,399.88x = 1,188,885.45
  5. Step 5: Solve for x
    x = 1,188,885.45/1,399.88
  6. Step 6: Final answer
    x = 849.28

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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.