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Finding the Fourth Proportional to 1,317.80, 1,818.30 and 820.52

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Solution

The fourth proportional to 1,317.80, 1,818.30 and 820.52 is: 1,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.80 : 1,818.30 = 820.52 : x
  2. Step 2: Convert to fraction form
    1,317.80/1,818.30 = 820.52/x
  3. Step 3: Cross multiply
    1,317.80x = 1,818.30 × 820.52
  4. Step 4: Simplify right side
    1,317.80x = 1,491,951.52
  5. Step 5: Solve for x
    x = 1,491,951.52/1,317.80
  6. Step 6: Final answer
    x = 1,132.15

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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.