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Finding the Fourth Proportional to 1,360.26, 1,877.12 and 770.75

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Solution

The fourth proportional to 1,360.26, 1,877.12 and 770.75 is: 1,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.26 : 1,877.12 = 770.75 : x
  2. Step 2: Convert to fraction form
    1,360.26/1,877.12 = 770.75/x
  3. Step 3: Cross multiply
    1,360.26x = 1,877.12 × 770.75
  4. Step 4: Simplify right side
    1,360.26x = 1,446,793.97
  5. Step 5: Solve for x
    x = 1,446,793.97/1,360.26
  6. Step 6: Final answer
    x = 1,063.61

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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.