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Finding the Fourth Proportional to 1,165.52, 1,749.02 and 549.20

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Solution

The fourth proportional to 1,165.52, 1,749.02 and 549.20 is: 824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.52 : 1,749.02 = 549.20 : x
  2. Step 2: Convert to fraction form
    1,165.52/1,749.02 = 549.20/x
  3. Step 3: Cross multiply
    1,165.52x = 1,749.02 × 549.20
  4. Step 4: Simplify right side
    1,165.52x = 960,561.78
  5. Step 5: Solve for x
    x = 960,561.78/1,165.52
  6. Step 6: Final answer
    x = 824.15

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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.