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Finding the Fourth Proportional to 927.56, 1,280.20 and 596.40

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Solution

The fourth proportional to 927.56, 1,280.20 and 596.40 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.56 : 1,280.20 = 596.40 : x
  2. Step 2: Convert to fraction form
    927.56/1,280.20 = 596.40/x
  3. Step 3: Cross multiply
    927.56x = 1,280.20 × 596.40
  4. Step 4: Simplify right side
    927.56x = 763,511.28
  5. Step 5: Solve for x
    x = 763,511.28/927.56
  6. Step 6: Final answer
    x = 823.14

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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.