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Finding the Fourth Proportional to 952.56, 1,314.77 and 559.85

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Solution

The fourth proportional to 952.56, 1,314.77 and 559.85 is: 772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.56 : 1,314.77 = 559.85 : x
  2. Step 2: Convert to fraction form
    952.56/1,314.77 = 559.85/x
  3. Step 3: Cross multiply
    952.56x = 1,314.77 × 559.85
  4. Step 4: Simplify right side
    952.56x = 736,064.61
  5. Step 5: Solve for x
    x = 736,064.61/952.56
  6. Step 6: Final answer
    x = 772.72

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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.