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Finding the Fourth Proportional to 1,112.85, 1,669.92 and 496.62

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Solution

The fourth proportional to 1,112.85, 1,669.92 and 496.62 is: 745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.85 : 1,669.92 = 496.62 : x
  2. Step 2: Convert to fraction form
    1,112.85/1,669.92 = 496.62/x
  3. Step 3: Cross multiply
    1,112.85x = 1,669.92 × 496.62
  4. Step 4: Simplify right side
    1,112.85x = 829,315.67
  5. Step 5: Solve for x
    x = 829,315.67/1,112.85
  6. Step 6: Final answer
    x = 745.22

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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.