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Finding the Fourth Proportional to 1,166.25, 1,747.95 and 549.14

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Solution

The fourth proportional to 1,166.25, 1,747.95 and 549.14 is: 823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.25 : 1,747.95 = 549.14 : x
  2. Step 2: Convert to fraction form
    1,166.25/1,747.95 = 549.14/x
  3. Step 3: Cross multiply
    1,166.25x = 1,747.95 × 549.14
  4. Step 4: Simplify right side
    1,166.25x = 959,869.26
  5. Step 5: Solve for x
    x = 959,869.26/1,166.25
  6. Step 6: Final answer
    x = 823.04

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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.