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Finding the Fourth Proportional to 872.68, 1,197.79 and 777.28

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Solution

The fourth proportional to 872.68, 1,197.79 and 777.28 is: 1,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.68 : 1,197.79 = 777.28 : x
  2. Step 2: Convert to fraction form
    872.68/1,197.79 = 777.28/x
  3. Step 3: Cross multiply
    872.68x = 1,197.79 × 777.28
  4. Step 4: Simplify right side
    872.68x = 931,014.32
  5. Step 5: Solve for x
    x = 931,014.32/872.68
  6. Step 6: Final answer
    x = 1,066.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.