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Finding the Fourth Proportional to 1,291.65, 1,782.90 and 961.17

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Solution

The fourth proportional to 1,291.65, 1,782.90 and 961.17 is: 1,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.65 : 1,782.90 = 961.17 : x
  2. Step 2: Convert to fraction form
    1,291.65/1,782.90 = 961.17/x
  3. Step 3: Cross multiply
    1,291.65x = 1,782.90 × 961.17
  4. Step 4: Simplify right side
    1,291.65x = 1,713,669.99
  5. Step 5: Solve for x
    x = 1,713,669.99/1,291.65
  6. Step 6: Final answer
    x = 1,326.73

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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.