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Finding the Fourth Proportional to 1,436.42, 2,153.25 and 461.84

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Solution

The fourth proportional to 1,436.42, 2,153.25 and 461.84 is: 692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.42 : 2,153.25 = 461.84 : x
  2. Step 2: Convert to fraction form
    1,436.42/2,153.25 = 461.84/x
  3. Step 3: Cross multiply
    1,436.42x = 2,153.25 × 461.84
  4. Step 4: Simplify right side
    1,436.42x = 994,446.21
  5. Step 5: Solve for x
    x = 994,446.21/1,436.42
  6. Step 6: Final answer
    x = 692.31

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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.