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Finding the Fourth Proportional to 1,433.40, 2,149.83 and 459.39

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Solution

The fourth proportional to 1,433.40, 2,149.83 and 459.39 is: 689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.40 : 2,149.83 = 459.39 : x
  2. Step 2: Convert to fraction form
    1,433.40/2,149.83 = 459.39/x
  3. Step 3: Cross multiply
    1,433.40x = 2,149.83 × 459.39
  4. Step 4: Simplify right side
    1,433.40x = 987,610.40
  5. Step 5: Solve for x
    x = 987,610.40/1,433.40
  6. Step 6: Final answer
    x = 689.00

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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.