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Finding the Fourth Proportional to 952.57, 1,314.25 and 559.72

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Solution

The fourth proportional to 952.57, 1,314.25 and 559.72 is: 772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.57 : 1,314.25 = 559.72 : x
  2. Step 2: Convert to fraction form
    952.57/1,314.25 = 559.72/x
  3. Step 3: Cross multiply
    952.57x = 1,314.25 × 559.72
  4. Step 4: Simplify right side
    952.57x = 735,612.01
  5. Step 5: Solve for x
    x = 735,612.01/952.57
  6. Step 6: Final answer
    x = 772.24

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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.