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Finding the Fourth Proportional to 928.56, 1,280.80 and 597.41

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Solution

The fourth proportional to 928.56, 1,280.80 and 597.41 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.56 : 1,280.80 = 597.41 : x
  2. Step 2: Convert to fraction form
    928.56/1,280.80 = 597.41/x
  3. Step 3: Cross multiply
    928.56x = 1,280.80 × 597.41
  4. Step 4: Simplify right side
    928.56x = 765,153.34
  5. Step 5: Solve for x
    x = 765,153.34/928.56
  6. Step 6: Final answer
    x = 824.02

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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.