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Finding the Fourth Proportional to 826.95, 1,240.11 and 457.05

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Solution

The fourth proportional to 826.95, 1,240.11 and 457.05 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.95 : 1,240.11 = 457.05 : x
  2. Step 2: Convert to fraction form
    826.95/1,240.11 = 457.05/x
  3. Step 3: Cross multiply
    826.95x = 1,240.11 × 457.05
  4. Step 4: Simplify right side
    826.95x = 566,792.28
  5. Step 5: Solve for x
    x = 566,792.28/826.95
  6. Step 6: Final answer
    x = 685.40

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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.