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Finding the Fourth Proportional to 1,207.80, 1,669.68 and 961.56

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Solution

The fourth proportional to 1,207.80, 1,669.68 and 961.56 is: 1,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.80 : 1,669.68 = 961.56 : x
  2. Step 2: Convert to fraction form
    1,207.80/1,669.68 = 961.56/x
  3. Step 3: Cross multiply
    1,207.80x = 1,669.68 × 961.56
  4. Step 4: Simplify right side
    1,207.80x = 1,605,497.50
  5. Step 5: Solve for x
    x = 1,605,497.50/1,207.80
  6. Step 6: Final answer
    x = 1,329.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.