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Finding the Fourth Proportional to 1,092.23, 1,508.82 and 870.89

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Solution

The fourth proportional to 1,092.23, 1,508.82 and 870.89 is: 1,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.23 : 1,508.82 = 870.89 : x
  2. Step 2: Convert to fraction form
    1,092.23/1,508.82 = 870.89/x
  3. Step 3: Cross multiply
    1,092.23x = 1,508.82 × 870.89
  4. Step 4: Simplify right side
    1,092.23x = 1,314,016.25
  5. Step 5: Solve for x
    x = 1,314,016.25/1,092.23
  6. Step 6: Final answer
    x = 1,203.06

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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.