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Finding the Fourth Proportional to 1,205.77, 1,806.76 and 718.56

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Solution

The fourth proportional to 1,205.77, 1,806.76 and 718.56 is: 1,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.77 : 1,806.76 = 718.56 : x
  2. Step 2: Convert to fraction form
    1,205.77/1,806.76 = 718.56/x
  3. Step 3: Cross multiply
    1,205.77x = 1,806.76 × 718.56
  4. Step 4: Simplify right side
    1,205.77x = 1,298,265.47
  5. Step 5: Solve for x
    x = 1,298,265.47/1,205.77
  6. Step 6: Final answer
    x = 1,076.71

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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.