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Finding the Fourth Proportional to 952.50, 1,314.69 and 538.74

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Solution

The fourth proportional to 952.50, 1,314.69 and 538.74 is: 743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.50 : 1,314.69 = 538.74 : x
  2. Step 2: Convert to fraction form
    952.50/1,314.69 = 538.74/x
  3. Step 3: Cross multiply
    952.50x = 1,314.69 × 538.74
  4. Step 4: Simplify right side
    952.50x = 708,276.09
  5. Step 5: Solve for x
    x = 708,276.09/952.50
  6. Step 6: Final answer
    x = 743.60

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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.