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Finding the Fourth Proportional to 874.33, 1,314.24 and 808.72

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Solution

The fourth proportional to 874.33, 1,314.24 and 808.72 is: 1,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.33 : 1,314.24 = 808.72 : x
  2. Step 2: Convert to fraction form
    874.33/1,314.24 = 808.72/x
  3. Step 3: Cross multiply
    874.33x = 1,314.24 × 808.72
  4. Step 4: Simplify right side
    874.33x = 1,062,852.17
  5. Step 5: Solve for x
    x = 1,062,852.17/874.33
  6. Step 6: Final answer
    x = 1,215.62

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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.