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Finding the Fourth Proportional to 826.77, 1,236.51 and 499.95

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Solution

The fourth proportional to 826.77, 1,236.51 and 499.95 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.77 : 1,236.51 = 499.95 : x
  2. Step 2: Convert to fraction form
    826.77/1,236.51 = 499.95/x
  3. Step 3: Cross multiply
    826.77x = 1,236.51 × 499.95
  4. Step 4: Simplify right side
    826.77x = 618,193.17
  5. Step 5: Solve for x
    x = 618,193.17/826.77
  6. Step 6: Final answer
    x = 747.72

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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.