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Finding the Fourth Proportional to 1,400.79, 2,098.88 and 851.31

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Solution

The fourth proportional to 1,400.79, 2,098.88 and 851.31 is: 1,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.79 : 2,098.88 = 851.31 : x
  2. Step 2: Convert to fraction form
    1,400.79/2,098.88 = 851.31/x
  3. Step 3: Cross multiply
    1,400.79x = 2,098.88 × 851.31
  4. Step 4: Simplify right side
    1,400.79x = 1,786,796.47
  5. Step 5: Solve for x
    x = 1,786,796.47/1,400.79
  6. Step 6: Final answer
    x = 1,275.56

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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.