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Finding the Fourth Proportional to 1,343.69, 1,854.49 and 820.03

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Solution

The fourth proportional to 1,343.69, 1,854.49 and 820.03 is: 1,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.69 : 1,854.49 = 820.03 : x
  2. Step 2: Convert to fraction form
    1,343.69/1,854.49 = 820.03/x
  3. Step 3: Cross multiply
    1,343.69x = 1,854.49 × 820.03
  4. Step 4: Simplify right side
    1,343.69x = 1,520,728.16
  5. Step 5: Solve for x
    x = 1,520,728.16/1,343.69
  6. Step 6: Final answer
    x = 1,131.76

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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.