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Finding the Fourth Proportional to 1,166.44, 1,748.82 and 549.82

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Solution

The fourth proportional to 1,166.44, 1,748.82 and 549.82 is: 824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.44 : 1,748.82 = 549.82 : x
  2. Step 2: Convert to fraction form
    1,166.44/1,748.82 = 549.82/x
  3. Step 3: Cross multiply
    1,166.44x = 1,748.82 × 549.82
  4. Step 4: Simplify right side
    1,166.44x = 961,527.47
  5. Step 5: Solve for x
    x = 961,527.47/1,166.44
  6. Step 6: Final answer
    x = 824.33

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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.