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Finding the Fourth Proportional to 1,147.83, 1,721.48 and 326.18

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Solution

The fourth proportional to 1,147.83, 1,721.48 and 326.18 is: 489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.83 : 1,721.48 = 326.18 : x
  2. Step 2: Convert to fraction form
    1,147.83/1,721.48 = 326.18/x
  3. Step 3: Cross multiply
    1,147.83x = 1,721.48 × 326.18
  4. Step 4: Simplify right side
    1,147.83x = 561,502.11
  5. Step 5: Solve for x
    x = 561,502.11/1,147.83
  6. Step 6: Final answer
    x = 489.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.