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Finding the Fourth Proportional to 1,302.11, 1,951.78 and 891.13

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Solution

The fourth proportional to 1,302.11, 1,951.78 and 891.13 is: 1,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.11 : 1,951.78 = 891.13 : x
  2. Step 2: Convert to fraction form
    1,302.11/1,951.78 = 891.13/x
  3. Step 3: Cross multiply
    1,302.11x = 1,951.78 × 891.13
  4. Step 4: Simplify right side
    1,302.11x = 1,739,289.71
  5. Step 5: Solve for x
    x = 1,739,289.71/1,302.11
  6. Step 6: Final answer
    x = 1,335.75

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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.