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Finding the Fourth Proportional to 674.38, 928.30 and 586.90

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Solution

The fourth proportional to 674.38, 928.30 and 586.90 is: 807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.38 : 928.30 = 586.90 : x
  2. Step 2: Convert to fraction form
    674.38/928.30 = 586.90/x
  3. Step 3: Cross multiply
    674.38x = 928.30 × 586.90
  4. Step 4: Simplify right side
    674.38x = 544,819.27
  5. Step 5: Solve for x
    x = 544,819.27/674.38
  6. Step 6: Final answer
    x = 807.88

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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.