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Finding the Fourth Proportional to 1,104.86, 1,657.32 and 818.12

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Solution

The fourth proportional to 1,104.86, 1,657.32 and 818.12 is: 1,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.86 : 1,657.32 = 818.12 : x
  2. Step 2: Convert to fraction form
    1,104.86/1,657.32 = 818.12/x
  3. Step 3: Cross multiply
    1,104.86x = 1,657.32 × 818.12
  4. Step 4: Simplify right side
    1,104.86x = 1,355,886.64
  5. Step 5: Solve for x
    x = 1,355,886.64/1,104.86
  6. Step 6: Final answer
    x = 1,227.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.