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Finding the Fourth Proportional to 1,324.23, 1,984.51 and 999.24

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Solution

The fourth proportional to 1,324.23, 1,984.51 and 999.24 is: 1,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.23 : 1,984.51 = 999.24 : x
  2. Step 2: Convert to fraction form
    1,324.23/1,984.51 = 999.24/x
  3. Step 3: Cross multiply
    1,324.23x = 1,984.51 × 999.24
  4. Step 4: Simplify right side
    1,324.23x = 1,983,001.77
  5. Step 5: Solve for x
    x = 1,983,001.77/1,324.23
  6. Step 6: Final answer
    x = 1,497.48

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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.