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Finding the Fourth Proportional to 1,188.20, 1,781.66 and 538.60

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Solution

The fourth proportional to 1,188.20, 1,781.66 and 538.60 is: 807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.20 : 1,781.66 = 538.60 : x
  2. Step 2: Convert to fraction form
    1,188.20/1,781.66 = 538.60/x
  3. Step 3: Cross multiply
    1,188.20x = 1,781.66 × 538.60
  4. Step 4: Simplify right side
    1,188.20x = 959,602.08
  5. Step 5: Solve for x
    x = 959,602.08/1,188.20
  6. Step 6: Final answer
    x = 807.61

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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.