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Finding the Fourth Proportional to 952.18, 1,314.24 and 559.42

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Solution

The fourth proportional to 952.18, 1,314.24 and 559.42 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.18 : 1,314.24 = 559.42 : x
  2. Step 2: Convert to fraction form
    952.18/1,314.24 = 559.42/x
  3. Step 3: Cross multiply
    952.18x = 1,314.24 × 559.42
  4. Step 4: Simplify right side
    952.18x = 735,212.14
  5. Step 5: Solve for x
    x = 735,212.14/952.18
  6. Step 6: Final answer
    x = 772.14

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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.