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Finding the Fourth Proportional to 1,025.36, 1,414.98 and 559.61

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Solution

The fourth proportional to 1,025.36, 1,414.98 and 559.61 is: 772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.36 : 1,414.98 = 559.61 : x
  2. Step 2: Convert to fraction form
    1,025.36/1,414.98 = 559.61/x
  3. Step 3: Cross multiply
    1,025.36x = 1,414.98 × 559.61
  4. Step 4: Simplify right side
    1,025.36x = 791,829.88
  5. Step 5: Solve for x
    x = 791,829.88/1,025.36
  6. Step 6: Final answer
    x = 772.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.