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Finding the Fourth Proportional to 844.82, 1,165.52 and 525.65

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Solution

The fourth proportional to 844.82, 1,165.52 and 525.65 is: 725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.82 : 1,165.52 = 525.65 : x
  2. Step 2: Convert to fraction form
    844.82/1,165.52 = 525.65/x
  3. Step 3: Cross multiply
    844.82x = 1,165.52 × 525.65
  4. Step 4: Simplify right side
    844.82x = 612,647.13
  5. Step 5: Solve for x
    x = 612,647.13/844.82
  6. Step 6: Final answer
    x = 725.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.