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Finding the Fourth Proportional to 928.53, 1,280.70 and 597.33

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Solution

The fourth proportional to 928.53, 1,280.70 and 597.33 is: 823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.53 : 1,280.70 = 597.33 : x
  2. Step 2: Convert to fraction form
    928.53/1,280.70 = 597.33/x
  3. Step 3: Cross multiply
    928.53x = 1,280.70 × 597.33
  4. Step 4: Simplify right side
    928.53x = 765,000.53
  5. Step 5: Solve for x
    x = 765,000.53/928.53
  6. Step 6: Final answer
    x = 823.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.