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Finding the Fourth Proportional to 844.46, 1,165.20 and 512.92

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Solution

The fourth proportional to 844.46, 1,165.20 and 512.92 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.46 : 1,165.20 = 512.92 : x
  2. Step 2: Convert to fraction form
    844.46/1,165.20 = 512.92/x
  3. Step 3: Cross multiply
    844.46x = 1,165.20 × 512.92
  4. Step 4: Simplify right side
    844.46x = 597,654.38
  5. Step 5: Solve for x
    x = 597,654.38/844.46
  6. Step 6: Final answer
    x = 707.74

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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.