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Finding the Fourth Proportional to 839.87, 1,259.77 and 292.17

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Solution

The fourth proportional to 839.87, 1,259.77 and 292.17 is: 438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.87 : 1,259.77 = 292.17 : x
  2. Step 2: Convert to fraction form
    839.87/1,259.77 = 292.17/x
  3. Step 3: Cross multiply
    839.87x = 1,259.77 × 292.17
  4. Step 4: Simplify right side
    839.87x = 368,067.00
  5. Step 5: Solve for x
    x = 368,067.00/839.87
  6. Step 6: Final answer
    x = 438.24

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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.