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Finding the Fourth Proportional to 674.66, 1,006.76 and 655.22

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Solution

The fourth proportional to 674.66, 1,006.76 and 655.22 is: 977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.66 : 1,006.76 = 655.22 : x
  2. Step 2: Convert to fraction form
    674.66/1,006.76 = 655.22/x
  3. Step 3: Cross multiply
    674.66x = 1,006.76 × 655.22
  4. Step 4: Simplify right side
    674.66x = 659,649.29
  5. Step 5: Solve for x
    x = 659,649.29/674.66
  6. Step 6: Final answer
    x = 977.75

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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.