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Finding the Fourth Proportional to 821.75, 1,233.14 and 744.87

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Solution

The fourth proportional to 821.75, 1,233.14 and 744.87 is: 1,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.75 : 1,233.14 = 744.87 : x
  2. Step 2: Convert to fraction form
    821.75/1,233.14 = 744.87/x
  3. Step 3: Cross multiply
    821.75x = 1,233.14 × 744.87
  4. Step 4: Simplify right side
    821.75x = 918,528.99
  5. Step 5: Solve for x
    x = 918,528.99/821.75
  6. Step 6: Final answer
    x = 1,117.77

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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.