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Finding the Fourth Proportional to 1,149.29, 1,586.63 and 922.76

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Solution

The fourth proportional to 1,149.29, 1,586.63 and 922.76 is: 1,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.29 : 1,586.63 = 922.76 : x
  2. Step 2: Convert to fraction form
    1,149.29/1,586.63 = 922.76/x
  3. Step 3: Cross multiply
    1,149.29x = 1,586.63 × 922.76
  4. Step 4: Simplify right side
    1,149.29x = 1,464,078.70
  5. Step 5: Solve for x
    x = 1,464,078.70/1,149.29
  6. Step 6: Final answer
    x = 1,273.90

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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.