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Finding the Fourth Proportional to 821.55, 1,133.23 and 766.87

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Solution

The fourth proportional to 821.55, 1,133.23 and 766.87 is: 1,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.55 : 1,133.23 = 766.87 : x
  2. Step 2: Convert to fraction form
    821.55/1,133.23 = 766.87/x
  3. Step 3: Cross multiply
    821.55x = 1,133.23 × 766.87
  4. Step 4: Simplify right side
    821.55x = 869,040.09
  5. Step 5: Solve for x
    x = 869,040.09/821.55
  6. Step 6: Final answer
    x = 1,057.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.