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Finding the Fourth Proportional to 952.97, 1,314.83 and 559.91

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Solution

The fourth proportional to 952.97, 1,314.83 and 559.91 is: 772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.97 : 1,314.83 = 559.91 : x
  2. Step 2: Convert to fraction form
    952.97/1,314.83 = 559.91/x
  3. Step 3: Cross multiply
    952.97x = 1,314.83 × 559.91
  4. Step 4: Simplify right side
    952.97x = 736,191.15
  5. Step 5: Solve for x
    x = 736,191.15/952.97
  6. Step 6: Final answer
    x = 772.53

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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.