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Finding the Fourth Proportional to 932.45, 1,286.74 and 534.12

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Solution

The fourth proportional to 932.45, 1,286.74 and 534.12 is: 737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.45 : 1,286.74 = 534.12 : x
  2. Step 2: Convert to fraction form
    932.45/1,286.74 = 534.12/x
  3. Step 3: Cross multiply
    932.45x = 1,286.74 × 534.12
  4. Step 4: Simplify right side
    932.45x = 687,273.57
  5. Step 5: Solve for x
    x = 687,273.57/932.45
  6. Step 6: Final answer
    x = 737.06

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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.