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Finding the Fourth Proportional to 1,174.74, 1,617.81 and 976.44

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Solution

The fourth proportional to 1,174.74, 1,617.81 and 976.44 is: 1,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.74 : 1,617.81 = 976.44 : x
  2. Step 2: Convert to fraction form
    1,174.74/1,617.81 = 976.44/x
  3. Step 3: Cross multiply
    1,174.74x = 1,617.81 × 976.44
  4. Step 4: Simplify right side
    1,174.74x = 1,579,694.40
  5. Step 5: Solve for x
    x = 1,579,694.40/1,174.74
  6. Step 6: Final answer
    x = 1,344.72

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Why These Related Problems?

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