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Finding the Fourth Proportional to 1,081.27, 1,612.65 and 925.75

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Solution

The fourth proportional to 1,081.27, 1,612.65 and 925.75 is: 1,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.27 : 1,612.65 = 925.75 : x
  2. Step 2: Convert to fraction form
    1,081.27/1,612.65 = 925.75/x
  3. Step 3: Cross multiply
    1,081.27x = 1,612.65 × 925.75
  4. Step 4: Simplify right side
    1,081.27x = 1,492,910.74
  5. Step 5: Solve for x
    x = 1,492,910.74/1,081.27
  6. Step 6: Final answer
    x = 1,380.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.