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Finding the Fourth Proportional to 839.89, 1,259.84 and 292.08

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Solution

The fourth proportional to 839.89, 1,259.84 and 292.08 is: 438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.89 : 1,259.84 = 292.08 : x
  2. Step 2: Convert to fraction form
    839.89/1,259.84 = 292.08/x
  3. Step 3: Cross multiply
    839.89x = 1,259.84 × 292.08
  4. Step 4: Simplify right side
    839.89x = 367,974.07
  5. Step 5: Solve for x
    x = 367,974.07/839.89
  6. Step 6: Final answer
    x = 438.12

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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.