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Finding the Fourth Proportional to 1,178.90, 1,777.18 and 1,099.61

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Solution

The fourth proportional to 1,178.90, 1,777.18 and 1,099.61 is: 1,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.90 : 1,777.18 = 1,099.61 : x
  2. Step 2: Convert to fraction form
    1,178.90/1,777.18 = 1,099.61/x
  3. Step 3: Cross multiply
    1,178.90x = 1,777.18 × 1,099.61
  4. Step 4: Simplify right side
    1,178.90x = 1,954,199.40
  5. Step 5: Solve for x
    x = 1,954,199.40/1,178.90
  6. Step 6: Final answer
    x = 1,657.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.