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Finding the Fourth Proportional to 1,166.17, 1,749.22 and 549.53

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Solution

The fourth proportional to 1,166.17, 1,749.22 and 549.53 is: 824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.17 : 1,749.22 = 549.53 : x
  2. Step 2: Convert to fraction form
    1,166.17/1,749.22 = 549.53/x
  3. Step 3: Cross multiply
    1,166.17x = 1,749.22 × 549.53
  4. Step 4: Simplify right side
    1,166.17x = 961,246.12
  5. Step 5: Solve for x
    x = 961,246.12/1,166.17
  6. Step 6: Final answer
    x = 824.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.