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Finding the Fourth Proportional to 1,162.48, 1,603.36 and 1,092.84

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Solution

The fourth proportional to 1,162.48, 1,603.36 and 1,092.84 is: 1,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.48 : 1,603.36 = 1,092.84 : x
  2. Step 2: Convert to fraction form
    1,162.48/1,603.36 = 1,092.84/x
  3. Step 3: Cross multiply
    1,162.48x = 1,603.36 × 1,092.84
  4. Step 4: Simplify right side
    1,162.48x = 1,752,215.94
  5. Step 5: Solve for x
    x = 1,752,215.94/1,162.48
  6. Step 6: Final answer
    x = 1,507.31

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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.