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Finding the Fourth Proportional to 1,081.35, 1,488.98 and 922.79

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Solution

The fourth proportional to 1,081.35, 1,488.98 and 922.79 is: 1,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.35 : 1,488.98 = 922.79 : x
  2. Step 2: Convert to fraction form
    1,081.35/1,488.98 = 922.79/x
  3. Step 3: Cross multiply
    1,081.35x = 1,488.98 × 922.79
  4. Step 4: Simplify right side
    1,081.35x = 1,374,021.88
  5. Step 5: Solve for x
    x = 1,374,021.88/1,081.35
  6. Step 6: Final answer
    x = 1,270.65

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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.