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Finding the Fourth Proportional to 1,399.23, 2,098.56 and 425.10

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Solution

The fourth proportional to 1,399.23, 2,098.56 and 425.10 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.23 : 2,098.56 = 425.10 : x
  2. Step 2: Convert to fraction form
    1,399.23/2,098.56 = 425.10/x
  3. Step 3: Cross multiply
    1,399.23x = 2,098.56 × 425.10
  4. Step 4: Simplify right side
    1,399.23x = 892,097.86
  5. Step 5: Solve for x
    x = 892,097.86/1,399.23
  6. Step 6: Final answer
    x = 637.56

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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.