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Finding the Fourth Proportional to 859.97, 1,288.98 and 790.74

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Solution

The fourth proportional to 859.97, 1,288.98 and 790.74 is: 1,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.97 : 1,288.98 = 790.74 : x
  2. Step 2: Convert to fraction form
    859.97/1,288.98 = 790.74/x
  3. Step 3: Cross multiply
    859.97x = 1,288.98 × 790.74
  4. Step 4: Simplify right side
    859.97x = 1,019,248.05
  5. Step 5: Solve for x
    x = 1,019,248.05/859.97
  6. Step 6: Final answer
    x = 1,185.22

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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.