Home / 1,077.28-1,613.76-923.20

Finding the Fourth Proportional to 1,077.28, 1,613.76 and 923.20

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Solution

The fourth proportional to 1,077.28, 1,613.76 and 923.20 is: 1,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.28 : 1,613.76 = 923.20 : x
  2. Step 2: Convert to fraction form
    1,077.28/1,613.76 = 923.20/x
  3. Step 3: Cross multiply
    1,077.28x = 1,613.76 × 923.20
  4. Step 4: Simplify right side
    1,077.28x = 1,489,823.23
  5. Step 5: Solve for x
    x = 1,489,823.23/1,077.28
  6. Step 6: Final answer
    x = 1,382.95

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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.