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Finding the Fourth Proportional to 826.88, 1,240.21 and 210.53

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Solution

The fourth proportional to 826.88, 1,240.21 and 210.53 is: 315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.88 : 1,240.21 = 210.53 : x
  2. Step 2: Convert to fraction form
    826.88/1,240.21 = 210.53/x
  3. Step 3: Cross multiply
    826.88x = 1,240.21 × 210.53
  4. Step 4: Simplify right side
    826.88x = 261,101.41
  5. Step 5: Solve for x
    x = 261,101.41/826.88
  6. Step 6: Final answer
    x = 315.77

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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.