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Finding the Fourth Proportional to 1,174.09, 1,616.79 and 1,049.71

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Solution

The fourth proportional to 1,174.09, 1,616.79 and 1,049.71 is: 1,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.09 : 1,616.79 = 1,049.71 : x
  2. Step 2: Convert to fraction form
    1,174.09/1,616.79 = 1,049.71/x
  3. Step 3: Cross multiply
    1,174.09x = 1,616.79 × 1,049.71
  4. Step 4: Simplify right side
    1,174.09x = 1,697,160.63
  5. Step 5: Solve for x
    x = 1,697,160.63/1,174.09
  6. Step 6: Final answer
    x = 1,445.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.