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Finding the Fourth Proportional to 835.98, 1,251.90 and 488.40

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Solution

The fourth proportional to 835.98, 1,251.90 and 488.40 is: 731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.98 : 1,251.90 = 488.40 : x
  2. Step 2: Convert to fraction form
    835.98/1,251.90 = 488.40/x
  3. Step 3: Cross multiply
    835.98x = 1,251.90 × 488.40
  4. Step 4: Simplify right side
    835.98x = 611,427.96
  5. Step 5: Solve for x
    x = 611,427.96/835.98
  6. Step 6: Final answer
    x = 731.39

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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.