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Finding the Fourth Proportional to 928.59, 1,393.56 and 722.64

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Solution

The fourth proportional to 928.59, 1,393.56 and 722.64 is: 1,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.59 : 1,393.56 = 722.64 : x
  2. Step 2: Convert to fraction form
    928.59/1,393.56 = 722.64/x
  3. Step 3: Cross multiply
    928.59x = 1,393.56 × 722.64
  4. Step 4: Simplify right side
    928.59x = 1,007,042.20
  5. Step 5: Solve for x
    x = 1,007,042.20/928.59
  6. Step 6: Final answer
    x = 1,084.49

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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.