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Finding the Fourth Proportional to 1,429.49, 2,143.93 and 403.25

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Solution

The fourth proportional to 1,429.49, 2,143.93 and 403.25 is: 604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.49 : 2,143.93 = 403.25 : x
  2. Step 2: Convert to fraction form
    1,429.49/2,143.93 = 403.25/x
  3. Step 3: Cross multiply
    1,429.49x = 2,143.93 × 403.25
  4. Step 4: Simplify right side
    1,429.49x = 864,539.77
  5. Step 5: Solve for x
    x = 864,539.77/1,429.49
  6. Step 6: Final answer
    x = 604.79

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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.