Home / 1,165.20-1,747.76-549.59

Finding the Fourth Proportional to 1,165.20, 1,747.76 and 549.59

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Solution

The fourth proportional to 1,165.20, 1,747.76 and 549.59 is: 824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.20 : 1,747.76 = 549.59 : x
  2. Step 2: Convert to fraction form
    1,165.20/1,747.76 = 549.59/x
  3. Step 3: Cross multiply
    1,165.20x = 1,747.76 × 549.59
  4. Step 4: Simplify right side
    1,165.20x = 960,543.02
  5. Step 5: Solve for x
    x = 960,543.02/1,165.20
  6. Step 6: Final answer
    x = 824.36

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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.