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Finding the Fourth Proportional to 1,324.26, 1,827.50 and 800.46

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Solution

The fourth proportional to 1,324.26, 1,827.50 and 800.46 is: 1,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.26 : 1,827.50 = 800.46 : x
  2. Step 2: Convert to fraction form
    1,324.26/1,827.50 = 800.46/x
  3. Step 3: Cross multiply
    1,324.26x = 1,827.50 × 800.46
  4. Step 4: Simplify right side
    1,324.26x = 1,462,836.65
  5. Step 5: Solve for x
    x = 1,462,836.65/1,324.26
  6. Step 6: Final answer
    x = 1,104.64

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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.