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Finding the Fourth Proportional to 928.80, 1,393.43 and 655.42

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Solution

The fourth proportional to 928.80, 1,393.43 and 655.42 is: 983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.80 : 1,393.43 = 655.42 : x
  2. Step 2: Convert to fraction form
    928.80/1,393.43 = 655.42/x
  3. Step 3: Cross multiply
    928.80x = 1,393.43 × 655.42
  4. Step 4: Simplify right side
    928.80x = 913,278.61
  5. Step 5: Solve for x
    x = 913,278.61/928.80
  6. Step 6: Final answer
    x = 983.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.