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Finding the Fourth Proportional to 952.35, 1,314.12 and 532.61

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Solution

The fourth proportional to 952.35, 1,314.12 and 532.61 is: 734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.35 : 1,314.12 = 532.61 : x
  2. Step 2: Convert to fraction form
    952.35/1,314.12 = 532.61/x
  3. Step 3: Cross multiply
    952.35x = 1,314.12 × 532.61
  4. Step 4: Simplify right side
    952.35x = 699,913.81
  5. Step 5: Solve for x
    x = 699,913.81/952.35
  6. Step 6: Final answer
    x = 734.94

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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.