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Finding the Fourth Proportional to 826.45, 1,239.72 and 594.70

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Solution

The fourth proportional to 826.45, 1,239.72 and 594.70 is: 892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.45 : 1,239.72 = 594.70 : x
  2. Step 2: Convert to fraction form
    826.45/1,239.72 = 594.70/x
  3. Step 3: Cross multiply
    826.45x = 1,239.72 × 594.70
  4. Step 4: Simplify right side
    826.45x = 737,261.48
  5. Step 5: Solve for x
    x = 737,261.48/826.45
  6. Step 6: Final answer
    x = 892.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.