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Finding the Fourth Proportional to 1,324.46, 1,827.84 and 764.96

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Solution

The fourth proportional to 1,324.46, 1,827.84 and 764.96 is: 1,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.46 : 1,827.84 = 764.96 : x
  2. Step 2: Convert to fraction form
    1,324.46/1,827.84 = 764.96/x
  3. Step 3: Cross multiply
    1,324.46x = 1,827.84 × 764.96
  4. Step 4: Simplify right side
    1,324.46x = 1,398,218.22
  5. Step 5: Solve for x
    x = 1,398,218.22/1,324.46
  6. Step 6: Final answer
    x = 1,055.69

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Why These Related Problems?

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