Home / 1,154.06-1,731.27-495.93

Finding the Fourth Proportional to 1,154.06, 1,731.27 and 495.93

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Solution

The fourth proportional to 1,154.06, 1,731.27 and 495.93 is: 743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.06 : 1,731.27 = 495.93 : x
  2. Step 2: Convert to fraction form
    1,154.06/1,731.27 = 495.93/x
  3. Step 3: Cross multiply
    1,154.06x = 1,731.27 × 495.93
  4. Step 4: Simplify right side
    1,154.06x = 858,588.73
  5. Step 5: Solve for x
    x = 858,588.73/1,154.06
  6. Step 6: Final answer
    x = 743.97

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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.