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Finding the Fourth Proportional to 881.46, 1,319.58 and 823.74

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Solution

The fourth proportional to 881.46, 1,319.58 and 823.74 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.46 : 1,319.58 = 823.74 : x
  2. Step 2: Convert to fraction form
    881.46/1,319.58 = 823.74/x
  3. Step 3: Cross multiply
    881.46x = 1,319.58 × 823.74
  4. Step 4: Simplify right side
    881.46x = 1,086,990.83
  5. Step 5: Solve for x
    x = 1,086,990.83/881.46
  6. Step 6: Final answer
    x = 1,233.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.