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Finding the Fourth Proportional to 1,085.11, 1,627.71 and 903.78

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Solution

The fourth proportional to 1,085.11, 1,627.71 and 903.78 is: 1,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.11 : 1,627.71 = 903.78 : x
  2. Step 2: Convert to fraction form
    1,085.11/1,627.71 = 903.78/x
  3. Step 3: Cross multiply
    1,085.11x = 1,627.71 × 903.78
  4. Step 4: Simplify right side
    1,085.11x = 1,471,091.74
  5. Step 5: Solve for x
    x = 1,471,091.74/1,085.11
  6. Step 6: Final answer
    x = 1,355.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.