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Finding the Fourth Proportional to 1,207.72, 1,801.72 and 1,174.24

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Solution

The fourth proportional to 1,207.72, 1,801.72 and 1,174.24 is: 1,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.72 : 1,801.72 = 1,174.24 : x
  2. Step 2: Convert to fraction form
    1,207.72/1,801.72 = 1,174.24/x
  3. Step 3: Cross multiply
    1,207.72x = 1,801.72 × 1,174.24
  4. Step 4: Simplify right side
    1,207.72x = 2,115,651.69
  5. Step 5: Solve for x
    x = 2,115,651.69/1,207.72
  6. Step 6: Final answer
    x = 1,751.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.