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Finding the Fourth Proportional to 1,399.11, 2,098.31 and 424.95

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Solution

The fourth proportional to 1,399.11, 2,098.31 and 424.95 is: 637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.11 : 2,098.31 = 424.95 : x
  2. Step 2: Convert to fraction form
    1,399.11/2,098.31 = 424.95/x
  3. Step 3: Cross multiply
    1,399.11x = 2,098.31 × 424.95
  4. Step 4: Simplify right side
    1,399.11x = 891,674.71
  5. Step 5: Solve for x
    x = 891,674.71/1,399.11
  6. Step 6: Final answer
    x = 637.32

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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.