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Finding the Fourth Proportional to 1,291.91, 1,782.41 and 732.17

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Solution

The fourth proportional to 1,291.91, 1,782.41 and 732.17 is: 1,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.91 : 1,782.41 = 732.17 : x
  2. Step 2: Convert to fraction form
    1,291.91/1,782.41 = 732.17/x
  3. Step 3: Cross multiply
    1,291.91x = 1,782.41 × 732.17
  4. Step 4: Simplify right side
    1,291.91x = 1,305,027.92
  5. Step 5: Solve for x
    x = 1,305,027.92/1,291.91
  6. Step 6: Final answer
    x = 1,010.16

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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.