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Finding the Fourth Proportional to 952.71, 1,314.42 and 559.67

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Solution

The fourth proportional to 952.71, 1,314.42 and 559.67 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.71 : 1,314.42 = 559.67 : x
  2. Step 2: Convert to fraction form
    952.71/1,314.42 = 559.67/x
  3. Step 3: Cross multiply
    952.71x = 1,314.42 × 559.67
  4. Step 4: Simplify right side
    952.71x = 735,634.87
  5. Step 5: Solve for x
    x = 735,634.87/952.71
  6. Step 6: Final answer
    x = 772.15

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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.