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Finding the Fourth Proportional to 952.14, 1,314 and 532.50

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Solution

The fourth proportional to 952.14, 1,314 and 532.50 is: 734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.14 : 1,314 = 532.50 : x
  2. Step 2: Convert to fraction form
    952.14/1,314 = 532.50/x
  3. Step 3: Cross multiply
    952.14x = 1,314 × 532.50
  4. Step 4: Simplify right side
    952.14x = 699,705
  5. Step 5: Solve for x
    x = 699,705/952.14
  6. Step 6: Final answer
    x = 734.88

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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.