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Finding the Fourth Proportional to 952.67, 1,314.60 and 559.55

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Solution

The fourth proportional to 952.67, 1,314.60 and 559.55 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.67 : 1,314.60 = 559.55 : x
  2. Step 2: Convert to fraction form
    952.67/1,314.60 = 559.55/x
  3. Step 3: Cross multiply
    952.67x = 1,314.60 × 559.55
  4. Step 4: Simplify right side
    952.67x = 735,584.43
  5. Step 5: Solve for x
    x = 735,584.43/952.67
  6. Step 6: Final answer
    x = 772.13

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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.