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Finding the Fourth Proportional to 1,399.23, 2,098.31 and 577.28

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Solution

The fourth proportional to 1,399.23, 2,098.31 and 577.28 is: 865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.23 : 2,098.31 = 577.28 : x
  2. Step 2: Convert to fraction form
    1,399.23/2,098.31 = 577.28/x
  3. Step 3: Cross multiply
    1,399.23x = 2,098.31 × 577.28
  4. Step 4: Simplify right side
    1,399.23x = 1,211,314.76
  5. Step 5: Solve for x
    x = 1,211,314.76/1,399.23
  6. Step 6: Final answer
    x = 865.70

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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.