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Finding the Fourth Proportional to 1,436.87, 2,155.11 and 462.85

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Solution

The fourth proportional to 1,436.87, 2,155.11 and 462.85 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.87 : 2,155.11 = 462.85 : x
  2. Step 2: Convert to fraction form
    1,436.87/2,155.11 = 462.85/x
  3. Step 3: Cross multiply
    1,436.87x = 2,155.11 × 462.85
  4. Step 4: Simplify right side
    1,436.87x = 997,485.54
  5. Step 5: Solve for x
    x = 997,485.54/1,436.87
  6. Step 6: Final answer
    x = 694.21

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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.