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Finding the Fourth Proportional to 881.04, 1,322.53 and 649.22

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Solution

The fourth proportional to 881.04, 1,322.53 and 649.22 is: 974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.04 : 1,322.53 = 649.22 : x
  2. Step 2: Convert to fraction form
    881.04/1,322.53 = 649.22/x
  3. Step 3: Cross multiply
    881.04x = 1,322.53 × 649.22
  4. Step 4: Simplify right side
    881.04x = 858,604.69
  5. Step 5: Solve for x
    x = 858,604.69/881.04
  6. Step 6: Final answer
    x = 974.53

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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.