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Finding the Fourth Proportional to 1,440.59, 1,987.31 and 850.77

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Solution

The fourth proportional to 1,440.59, 1,987.31 and 850.77 is: 1,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.59 : 1,987.31 = 850.77 : x
  2. Step 2: Convert to fraction form
    1,440.59/1,987.31 = 850.77/x
  3. Step 3: Cross multiply
    1,440.59x = 1,987.31 × 850.77
  4. Step 4: Simplify right side
    1,440.59x = 1,690,739.47
  5. Step 5: Solve for x
    x = 1,690,739.47/1,440.59
  6. Step 6: Final answer
    x = 1,173.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.