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Finding the Fourth Proportional to 859.97, 1,287.86 and 599.28

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Solution

The fourth proportional to 859.97, 1,287.86 and 599.28 is: 897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.97 : 1,287.86 = 599.28 : x
  2. Step 2: Convert to fraction form
    859.97/1,287.86 = 599.28/x
  3. Step 3: Cross multiply
    859.97x = 1,287.86 × 599.28
  4. Step 4: Simplify right side
    859.97x = 771,785.74
  5. Step 5: Solve for x
    x = 771,785.74/859.97
  6. Step 6: Final answer
    x = 897.46

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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.