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Finding the Fourth Proportional to 1,188.18, 1,782.57 and 959.15

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Solution

The fourth proportional to 1,188.18, 1,782.57 and 959.15 is: 1,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.18 : 1,782.57 = 959.15 : x
  2. Step 2: Convert to fraction form
    1,188.18/1,782.57 = 959.15/x
  3. Step 3: Cross multiply
    1,188.18x = 1,782.57 × 959.15
  4. Step 4: Simplify right side
    1,188.18x = 1,709,743.10
  5. Step 5: Solve for x
    x = 1,709,743.10/1,188.18
  6. Step 6: Final answer
    x = 1,438.96

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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.