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Finding the Fourth Proportional to 1,061.26, 1,591.20 and 367.88

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Solution

The fourth proportional to 1,061.26, 1,591.20 and 367.88 is: 551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.26 : 1,591.20 = 367.88 : x
  2. Step 2: Convert to fraction form
    1,061.26/1,591.20 = 367.88/x
  3. Step 3: Cross multiply
    1,061.26x = 1,591.20 × 367.88
  4. Step 4: Simplify right side
    1,061.26x = 585,362.70
  5. Step 5: Solve for x
    x = 585,362.70/1,061.26
  6. Step 6: Final answer
    x = 551.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.