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Finding the Fourth Proportional to 927.14, 1,280.70 and 741.93

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Solution

The fourth proportional to 927.14, 1,280.70 and 741.93 is: 1,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.14 : 1,280.70 = 741.93 : x
  2. Step 2: Convert to fraction form
    927.14/1,280.70 = 741.93/x
  3. Step 3: Cross multiply
    927.14x = 1,280.70 × 741.93
  4. Step 4: Simplify right side
    927.14x = 950,189.75
  5. Step 5: Solve for x
    x = 950,189.75/927.14
  6. Step 6: Final answer
    x = 1,024.86

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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.