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Finding the Fourth Proportional to 1,350.84, 1,864.25 and 826.95

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Solution

The fourth proportional to 1,350.84, 1,864.25 and 826.95 is: 1,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.84 : 1,864.25 = 826.95 : x
  2. Step 2: Convert to fraction form
    1,350.84/1,864.25 = 826.95/x
  3. Step 3: Cross multiply
    1,350.84x = 1,864.25 × 826.95
  4. Step 4: Simplify right side
    1,350.84x = 1,541,641.54
  5. Step 5: Solve for x
    x = 1,541,641.54/1,350.84
  6. Step 6: Final answer
    x = 1,141.25

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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.