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Finding the Fourth Proportional to 1,359.69, 1,876.26 and 770.21

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Solution

The fourth proportional to 1,359.69, 1,876.26 and 770.21 is: 1,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.69 : 1,876.26 = 770.21 : x
  2. Step 2: Convert to fraction form
    1,359.69/1,876.26 = 770.21/x
  3. Step 3: Cross multiply
    1,359.69x = 1,876.26 × 770.21
  4. Step 4: Simplify right side
    1,359.69x = 1,445,114.76
  5. Step 5: Solve for x
    x = 1,445,114.76/1,359.69
  6. Step 6: Final answer
    x = 1,062.83

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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.