Home / 1,165.29-1,748.34-549.09

Finding the Fourth Proportional to 1,165.29, 1,748.34 and 549.09

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Solution

The fourth proportional to 1,165.29, 1,748.34 and 549.09 is: 823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.29 : 1,748.34 = 549.09 : x
  2. Step 2: Convert to fraction form
    1,165.29/1,748.34 = 549.09/x
  3. Step 3: Cross multiply
    1,165.29x = 1,748.34 × 549.09
  4. Step 4: Simplify right side
    1,165.29x = 959,996.01
  5. Step 5: Solve for x
    x = 959,996.01/1,165.29
  6. Step 6: Final answer
    x = 823.83

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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.