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Finding the Fourth Proportional to 1,165.57, 1,748.94 and 549.25

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Solution

The fourth proportional to 1,165.57, 1,748.94 and 549.25 is: 824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.57 : 1,748.94 = 549.25 : x
  2. Step 2: Convert to fraction form
    1,165.57/1,748.94 = 549.25/x
  3. Step 3: Cross multiply
    1,165.57x = 1,748.94 × 549.25
  4. Step 4: Simplify right side
    1,165.57x = 960,605.30
  5. Step 5: Solve for x
    x = 960,605.30/1,165.57
  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.