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Finding the Fourth Proportional to 1,291.83, 1,782.86 and 732.24

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Solution

The fourth proportional to 1,291.83, 1,782.86 and 732.24 is: 1,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.83 : 1,782.86 = 732.24 : x
  2. Step 2: Convert to fraction form
    1,291.83/1,782.86 = 732.24/x
  3. Step 3: Cross multiply
    1,291.83x = 1,782.86 × 732.24
  4. Step 4: Simplify right side
    1,291.83x = 1,305,472.82
  5. Step 5: Solve for x
    x = 1,305,472.82/1,291.83
  6. Step 6: Final answer
    x = 1,010.56

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