Home / 1,167.16-1,610.26-724.84

Finding the Fourth Proportional to 1,167.16, 1,610.26 and 724.84

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Solution

The fourth proportional to 1,167.16, 1,610.26 and 724.84 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.16 : 1,610.26 = 724.84 : x
  2. Step 2: Convert to fraction form
    1,167.16/1,610.26 = 724.84/x
  3. Step 3: Cross multiply
    1,167.16x = 1,610.26 × 724.84
  4. Step 4: Simplify right side
    1,167.16x = 1,167,180.86
  5. Step 5: Solve for x
    x = 1,167,180.86/1,167.16
  6. Step 6: Final answer
    x = 1,000.02

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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.