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Finding the Fourth Proportional to 1,399.59, 2,099.39 and 425.69

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Solution

The fourth proportional to 1,399.59, 2,099.39 and 425.69 is: 638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.59 : 2,099.39 = 425.69 : x
  2. Step 2: Convert to fraction form
    1,399.59/2,099.39 = 425.69/x
  3. Step 3: Cross multiply
    1,399.59x = 2,099.39 × 425.69
  4. Step 4: Simplify right side
    1,399.59x = 893,686.97
  5. Step 5: Solve for x
    x = 893,686.97/1,399.59
  6. Step 6: Final answer
    x = 638.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.