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Finding the Fourth Proportional to 1,324.74, 1,827.86 and 800.68

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Solution

The fourth proportional to 1,324.74, 1,827.86 and 800.68 is: 1,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.74 : 1,827.86 = 800.68 : x
  2. Step 2: Convert to fraction form
    1,324.74/1,827.86 = 800.68/x
  3. Step 3: Cross multiply
    1,324.74x = 1,827.86 × 800.68
  4. Step 4: Simplify right side
    1,324.74x = 1,463,530.94
  5. Step 5: Solve for x
    x = 1,463,530.94/1,324.74
  6. Step 6: Final answer
    x = 1,104.77

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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.