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Finding the Fourth Proportional to 952.60, 1,314.54 and 532.84

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Solution

The fourth proportional to 952.60, 1,314.54 and 532.84 is: 735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.60 : 1,314.54 = 532.84 : x
  2. Step 2: Convert to fraction form
    952.60/1,314.54 = 532.84/x
  3. Step 3: Cross multiply
    952.60x = 1,314.54 × 532.84
  4. Step 4: Simplify right side
    952.60x = 700,439.49
  5. Step 5: Solve for x
    x = 700,439.49/952.60
  6. Step 6: Final answer
    x = 735.29

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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.