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Finding the Fourth Proportional to 932.19, 1,286.38 and 512.52

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Solution

The fourth proportional to 932.19, 1,286.38 and 512.52 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.19 : 1,286.38 = 512.52 : x
  2. Step 2: Convert to fraction form
    932.19/1,286.38 = 512.52/x
  3. Step 3: Cross multiply
    932.19x = 1,286.38 × 512.52
  4. Step 4: Simplify right side
    932.19x = 659,295.48
  5. Step 5: Solve for x
    x = 659,295.48/932.19
  6. Step 6: Final answer
    x = 707.25

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Half scale
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Double scale
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1.5x scale

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.