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Finding the Fourth Proportional to 1,074.41, 1,607.46 and 801.71

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Solution

The fourth proportional to 1,074.41, 1,607.46 and 801.71 is: 1,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.41 : 1,607.46 = 801.71 : x
  2. Step 2: Convert to fraction form
    1,074.41/1,607.46 = 801.71/x
  3. Step 3: Cross multiply
    1,074.41x = 1,607.46 × 801.71
  4. Step 4: Simplify right side
    1,074.41x = 1,288,716.76
  5. Step 5: Solve for x
    x = 1,288,716.76/1,074.41
  6. Step 6: Final answer
    x = 1,199.46

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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.