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Finding the Fourth Proportional to 1,360.17, 1,876.78 and 770.59

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Solution

The fourth proportional to 1,360.17, 1,876.78 and 770.59 is: 1,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.17 : 1,876.78 = 770.59 : x
  2. Step 2: Convert to fraction form
    1,360.17/1,876.78 = 770.59/x
  3. Step 3: Cross multiply
    1,360.17x = 1,876.78 × 770.59
  4. Step 4: Simplify right side
    1,360.17x = 1,446,231.21
  5. Step 5: Solve for x
    x = 1,446,231.21/1,360.17
  6. Step 6: Final answer
    x = 1,063.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.