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Finding the Fourth Proportional to 826.80, 1,141.29 and 562.61

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Solution

The fourth proportional to 826.80, 1,141.29 and 562.61 is: 776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.80 : 1,141.29 = 562.61 : x
  2. Step 2: Convert to fraction form
    826.80/1,141.29 = 562.61/x
  3. Step 3: Cross multiply
    826.80x = 1,141.29 × 562.61
  4. Step 4: Simplify right side
    826.80x = 642,095.46
  5. Step 5: Solve for x
    x = 642,095.46/826.80
  6. Step 6: Final answer
    x = 776.60

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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.