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Finding the Fourth Proportional to 674.15, 1,004.27 and 653.76

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Solution

The fourth proportional to 674.15, 1,004.27 and 653.76 is: 973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.15 : 1,004.27 = 653.76 : x
  2. Step 2: Convert to fraction form
    674.15/1,004.27 = 653.76/x
  3. Step 3: Cross multiply
    674.15x = 1,004.27 × 653.76
  4. Step 4: Simplify right side
    674.15x = 656,543.27
  5. Step 5: Solve for x
    x = 656,543.27/674.15
  6. Step 6: Final answer
    x = 973.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.