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Finding the Fourth Proportional to 826.88, 1,141.59 and 532.68

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Solution

The fourth proportional to 826.88, 1,141.59 and 532.68 is: 735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.88 : 1,141.59 = 532.68 : x
  2. Step 2: Convert to fraction form
    826.88/1,141.59 = 532.68/x
  3. Step 3: Cross multiply
    826.88x = 1,141.59 × 532.68
  4. Step 4: Simplify right side
    826.88x = 608,099.88
  5. Step 5: Solve for x
    x = 608,099.88/826.88
  6. Step 6: Final answer
    x = 735.42

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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.