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Finding the Fourth Proportional to 674.40, 1,003.20 and 655.68

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Solution

The fourth proportional to 674.40, 1,003.20 and 655.68 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.40 : 1,003.20 = 655.68 : x
  2. Step 2: Convert to fraction form
    674.40/1,003.20 = 655.68/x
  3. Step 3: Cross multiply
    674.40x = 1,003.20 × 655.68
  4. Step 4: Simplify right side
    674.40x = 657,778.18
  5. Step 5: Solve for x
    x = 657,778.18/674.40
  6. Step 6: Final answer
    x = 975.35

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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.