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Finding the Fourth Proportional to 1,292.17, 1,783.80 and 826.69

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Solution

The fourth proportional to 1,292.17, 1,783.80 and 826.69 is: 1,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.17 : 1,783.80 = 826.69 : x
  2. Step 2: Convert to fraction form
    1,292.17/1,783.80 = 826.69/x
  3. Step 3: Cross multiply
    1,292.17x = 1,783.80 × 826.69
  4. Step 4: Simplify right side
    1,292.17x = 1,474,649.62
  5. Step 5: Solve for x
    x = 1,474,649.62/1,292.17
  6. Step 6: Final answer
    x = 1,141.22

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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.