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Finding the Fourth Proportional to 858.97, 1,287.42 and 396.12

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Solution

The fourth proportional to 858.97, 1,287.42 and 396.12 is: 593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.97 : 1,287.42 = 396.12 : x
  2. Step 2: Convert to fraction form
    858.97/1,287.42 = 396.12/x
  3. Step 3: Cross multiply
    858.97x = 1,287.42 × 396.12
  4. Step 4: Simplify right side
    858.97x = 509,972.81
  5. Step 5: Solve for x
    x = 509,972.81/858.97
  6. Step 6: Final answer
    x = 593.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.