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Finding the Fourth Proportional to 800.88, 1,102.83 and 782.70

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Solution

The fourth proportional to 800.88, 1,102.83 and 782.70 is: 1,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.88 : 1,102.83 = 782.70 : x
  2. Step 2: Convert to fraction form
    800.88/1,102.83 = 782.70/x
  3. Step 3: Cross multiply
    800.88x = 1,102.83 × 782.70
  4. Step 4: Simplify right side
    800.88x = 863,185.04
  5. Step 5: Solve for x
    x = 863,185.04/800.88
  6. Step 6: Final answer
    x = 1,077.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.