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Finding the Fourth Proportional to 1,165.82, 1,749.69 and 549.23

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Solution

The fourth proportional to 1,165.82, 1,749.69 and 549.23 is: 824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.82 : 1,749.69 = 549.23 : x
  2. Step 2: Convert to fraction form
    1,165.82/1,749.69 = 549.23/x
  3. Step 3: Cross multiply
    1,165.82x = 1,749.69 × 549.23
  4. Step 4: Simplify right side
    1,165.82x = 960,973.49
  5. Step 5: Solve for x
    x = 960,973.49/1,165.82
  6. Step 6: Final answer
    x = 824.29

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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.