Home / 1,166.31-1,749.11-549.68

Finding the Fourth Proportional to 1,166.31, 1,749.11 and 549.68

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Solution

The fourth proportional to 1,166.31, 1,749.11 and 549.68 is: 824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.31 : 1,749.11 = 549.68 : x
  2. Step 2: Convert to fraction form
    1,166.31/1,749.11 = 549.68/x
  3. Step 3: Cross multiply
    1,166.31x = 1,749.11 × 549.68
  4. Step 4: Simplify right side
    1,166.31x = 961,439.29
  5. Step 5: Solve for x
    x = 961,439.29/1,166.31
  6. Step 6: Final answer
    x = 824.34

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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.