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Finding the Fourth Proportional to 1,433.39, 2,149.37 and 459.37

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Solution

The fourth proportional to 1,433.39, 2,149.37 and 459.37 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.39 : 2,149.37 = 459.37 : x
  2. Step 2: Convert to fraction form
    1,433.39/2,149.37 = 459.37/x
  3. Step 3: Cross multiply
    1,433.39x = 2,149.37 × 459.37
  4. Step 4: Simplify right side
    1,433.39x = 987,345.35
  5. Step 5: Solve for x
    x = 987,345.35/1,433.39
  6. Step 6: Final answer
    x = 688.82

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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.