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Finding the Fourth Proportional to 932.02, 1,286.10 and 512.37

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Solution

The fourth proportional to 932.02, 1,286.10 and 512.37 is: 707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.02 : 1,286.10 = 512.37 : x
  2. Step 2: Convert to fraction form
    932.02/1,286.10 = 512.37/x
  3. Step 3: Cross multiply
    932.02x = 1,286.10 × 512.37
  4. Step 4: Simplify right side
    932.02x = 658,959.06
  5. Step 5: Solve for x
    x = 658,959.06/932.02
  6. Step 6: Final answer
    x = 707.02

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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.