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Finding the Fourth Proportional to 1,162.24, 1,603.46 and 664.52

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Solution

The fourth proportional to 1,162.24, 1,603.46 and 664.52 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.24 : 1,603.46 = 664.52 : x
  2. Step 2: Convert to fraction form
    1,162.24/1,603.46 = 664.52/x
  3. Step 3: Cross multiply
    1,162.24x = 1,603.46 × 664.52
  4. Step 4: Simplify right side
    1,162.24x = 1,065,531.24
  5. Step 5: Solve for x
    x = 1,065,531.24/1,162.24
  6. Step 6: Final answer
    x = 916.79

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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.