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Finding the Fourth Proportional to 881.50, 1,322.79 and 517.00

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Solution

The fourth proportional to 881.50, 1,322.79 and 517.00 is: 775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.50 : 1,322.79 = 517.00 : x
  2. Step 2: Convert to fraction form
    881.50/1,322.79 = 517.00/x
  3. Step 3: Cross multiply
    881.50x = 1,322.79 × 517.00
  4. Step 4: Simplify right side
    881.50x = 683,873.23
  5. Step 5: Solve for x
    x = 683,873.23/881.50
  6. Step 6: Final answer
    x = 775.81

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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.