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Finding the Fourth Proportional to 1,431.49, 2,146.93 and 405.25

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Solution

The fourth proportional to 1,431.49, 2,146.93 and 405.25 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.49 : 2,146.93 = 405.25 : x
  2. Step 2: Convert to fraction form
    1,431.49/2,146.93 = 405.25/x
  3. Step 3: Cross multiply
    1,431.49x = 2,146.93 × 405.25
  4. Step 4: Simplify right side
    1,431.49x = 870,043.38
  5. Step 5: Solve for x
    x = 870,043.38/1,431.49
  6. Step 6: Final answer
    x = 607.79

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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.