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Finding the Fourth Proportional to 1,359.79, 1,876.39 and 770.20

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Solution

The fourth proportional to 1,359.79, 1,876.39 and 770.20 is: 1,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.79 : 1,876.39 = 770.20 : x
  2. Step 2: Convert to fraction form
    1,359.79/1,876.39 = 770.20/x
  3. Step 3: Cross multiply
    1,359.79x = 1,876.39 × 770.20
  4. Step 4: Simplify right side
    1,359.79x = 1,445,188.96
  5. Step 5: Solve for x
    x = 1,445,188.96/1,359.79
  6. Step 6: Final answer
    x = 1,062.81

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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.