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Finding the Fourth Proportional to 1,025.59, 1,538.03 and 400.74

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Solution

The fourth proportional to 1,025.59, 1,538.03 and 400.74 is: 600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.59 : 1,538.03 = 400.74 : x
  2. Step 2: Convert to fraction form
    1,025.59/1,538.03 = 400.74/x
  3. Step 3: Cross multiply
    1,025.59x = 1,538.03 × 400.74
  4. Step 4: Simplify right side
    1,025.59x = 616,350.14
  5. Step 5: Solve for x
    x = 616,350.14/1,025.59
  6. Step 6: Final answer
    x = 600.97

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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.