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Finding the Fourth Proportional to 1,350.96, 1,864.08 and 826.64

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Solution

The fourth proportional to 1,350.96, 1,864.08 and 826.64 is: 1,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.96 : 1,864.08 = 826.64 : x
  2. Step 2: Convert to fraction form
    1,350.96/1,864.08 = 826.64/x
  3. Step 3: Cross multiply
    1,350.96x = 1,864.08 × 826.64
  4. Step 4: Simplify right side
    1,350.96x = 1,540,923.09
  5. Step 5: Solve for x
    x = 1,540,923.09/1,350.96
  6. Step 6: Final answer
    x = 1,140.61

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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.