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Finding the Fourth Proportional to 1,025.13, 1,414.67 and 559.38

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Solution

The fourth proportional to 1,025.13, 1,414.67 and 559.38 is: 771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.13 : 1,414.67 = 559.38 : x
  2. Step 2: Convert to fraction form
    1,025.13/1,414.67 = 559.38/x
  3. Step 3: Cross multiply
    1,025.13x = 1,414.67 × 559.38
  4. Step 4: Simplify right side
    1,025.13x = 791,338.10
  5. Step 5: Solve for x
    x = 791,338.10/1,025.13
  6. Step 6: Final answer
    x = 771.94

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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.