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Finding the Fourth Proportional to 1,165.48, 1,747.70 and 549.36

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Solution

The fourth proportional to 1,165.48, 1,747.70 and 549.36 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.48 : 1,747.70 = 549.36 : x
  2. Step 2: Convert to fraction form
    1,165.48/1,747.70 = 549.36/x
  3. Step 3: Cross multiply
    1,165.48x = 1,747.70 × 549.36
  4. Step 4: Simplify right side
    1,165.48x = 960,116.47
  5. Step 5: Solve for x
    x = 960,116.47/1,165.48
  6. Step 6: Final answer
    x = 823.79

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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.