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Finding the Fourth Proportional to 1,174.74, 1,763.94 and 1,166.28

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Solution

The fourth proportional to 1,174.74, 1,763.94 and 1,166.28 is: 1,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.74 : 1,763.94 = 1,166.28 : x
  2. Step 2: Convert to fraction form
    1,174.74/1,763.94 = 1,166.28/x
  3. Step 3: Cross multiply
    1,174.74x = 1,763.94 × 1,166.28
  4. Step 4: Simplify right side
    1,174.74x = 2,057,247.94
  5. Step 5: Solve for x
    x = 2,057,247.94/1,174.74
  6. Step 6: Final answer
    x = 1,751.24

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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.