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Finding the Fourth Proportional to 772.88, 1,158.39 and 695.42

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Solution

The fourth proportional to 772.88, 1,158.39 and 695.42 is: 1,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.88 : 1,158.39 = 695.42 : x
  2. Step 2: Convert to fraction form
    772.88/1,158.39 = 695.42/x
  3. Step 3: Cross multiply
    772.88x = 1,158.39 × 695.42
  4. Step 4: Simplify right side
    772.88x = 805,561.78
  5. Step 5: Solve for x
    x = 805,561.78/772.88
  6. Step 6: Final answer
    x = 1,042.29

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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.