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Finding the Fourth Proportional to 1,061.46, 1,591.38 and 367.83

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Solution

The fourth proportional to 1,061.46, 1,591.38 and 367.83 is: 551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.46 : 1,591.38 = 367.83 : x
  2. Step 2: Convert to fraction form
    1,061.46/1,591.38 = 367.83/x
  3. Step 3: Cross multiply
    1,061.46x = 1,591.38 × 367.83
  4. Step 4: Simplify right side
    1,061.46x = 585,357.31
  5. Step 5: Solve for x
    x = 585,357.31/1,061.46
  6. Step 6: Final answer
    x = 551.46

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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.