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Finding the Fourth Proportional to 833.19, 1,151.06 and 826.71

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Solution

The fourth proportional to 833.19, 1,151.06 and 826.71 is: 1,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.19 : 1,151.06 = 826.71 : x
  2. Step 2: Convert to fraction form
    833.19/1,151.06 = 826.71/x
  3. Step 3: Cross multiply
    833.19x = 1,151.06 × 826.71
  4. Step 4: Simplify right side
    833.19x = 951,588.68
  5. Step 5: Solve for x
    x = 951,588.68/833.19
  6. Step 6: Final answer
    x = 1,142.10

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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.