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Finding the Fourth Proportional to 787, 1,179.60 and 440.17

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Solution

The fourth proportional to 787, 1,179.60 and 440.17 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787 : 1,179.60 = 440.17 : x
  2. Step 2: Convert to fraction form
    787/1,179.60 = 440.17/x
  3. Step 3: Cross multiply
    787x = 1,179.60 × 440.17
  4. Step 4: Simplify right side
    787x = 519,224.53
  5. Step 5: Solve for x
    x = 519,224.53/787
  6. Step 6: Final answer
    x = 659.75

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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.