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Finding the Fourth Proportional to 932.30, 1,286.57 and 512.64

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Solution

The fourth proportional to 932.30, 1,286.57 and 512.64 is: 707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.30 : 1,286.57 = 512.64 : x
  2. Step 2: Convert to fraction form
    932.30/1,286.57 = 512.64/x
  3. Step 3: Cross multiply
    932.30x = 1,286.57 × 512.64
  4. Step 4: Simplify right side
    932.30x = 659,547.24
  5. Step 5: Solve for x
    x = 659,547.24/932.30
  6. Step 6: Final answer
    x = 707.44

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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.