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Finding the Fourth Proportional to 891.21, 1,335.87 and 428.70

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Solution

The fourth proportional to 891.21, 1,335.87 and 428.70 is: 642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.21 : 1,335.87 = 428.70 : x
  2. Step 2: Convert to fraction form
    891.21/1,335.87 = 428.70/x
  3. Step 3: Cross multiply
    891.21x = 1,335.87 × 428.70
  4. Step 4: Simplify right side
    891.21x = 572,687.47
  5. Step 5: Solve for x
    x = 572,687.47/891.21
  6. Step 6: Final answer
    x = 642.60

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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.