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Finding the Fourth Proportional to 1,174.66, 1,765.17 and 627.23

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Solution

The fourth proportional to 1,174.66, 1,765.17 and 627.23 is: 942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.66 : 1,765.17 = 627.23 : x
  2. Step 2: Convert to fraction form
    1,174.66/1,765.17 = 627.23/x
  3. Step 3: Cross multiply
    1,174.66x = 1,765.17 × 627.23
  4. Step 4: Simplify right side
    1,174.66x = 1,107,171.99
  5. Step 5: Solve for x
    x = 1,107,171.99/1,174.66
  6. Step 6: Final answer
    x = 942.55

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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.