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Finding the Fourth Proportional to 1,206.17, 1,806.51 and 767.42

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Solution

The fourth proportional to 1,206.17, 1,806.51 and 767.42 is: 1,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.17 : 1,806.51 = 767.42 : x
  2. Step 2: Convert to fraction form
    1,206.17/1,806.51 = 767.42/x
  3. Step 3: Cross multiply
    1,206.17x = 1,806.51 × 767.42
  4. Step 4: Simplify right side
    1,206.17x = 1,386,342.87
  5. Step 5: Solve for x
    x = 1,386,342.87/1,206.17
  6. Step 6: Final answer
    x = 1,149.38

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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.