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Finding the Fourth Proportional to 927.75, 1,280.38 and 513.83

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Solution

The fourth proportional to 927.75, 1,280.38 and 513.83 is: 709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.75 : 1,280.38 = 513.83 : x
  2. Step 2: Convert to fraction form
    927.75/1,280.38 = 513.83/x
  3. Step 3: Cross multiply
    927.75x = 1,280.38 × 513.83
  4. Step 4: Simplify right side
    927.75x = 657,895.09
  5. Step 5: Solve for x
    x = 657,895.09/927.75
  6. Step 6: Final answer
    x = 709.13

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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.