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Finding the Fourth Proportional to 1,188.12, 1,778.52 and 1,013.16

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Solution

The fourth proportional to 1,188.12, 1,778.52 and 1,013.16 is: 1,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,778.52 = 1,013.16 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,778.52 = 1,013.16/x
  3. Step 3: Cross multiply
    1,188.12x = 1,778.52 × 1,013.16
  4. Step 4: Simplify right side
    1,188.12x = 1,801,925.32
  5. Step 5: Solve for x
    x = 1,801,925.32/1,188.12
  6. Step 6: Final answer
    x = 1,516.62

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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.