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Finding the Fourth Proportional to 870.22, 1,306.95 and 797.95

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Solution

The fourth proportional to 870.22, 1,306.95 and 797.95 is: 1,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.22 : 1,306.95 = 797.95 : x
  2. Step 2: Convert to fraction form
    870.22/1,306.95 = 797.95/x
  3. Step 3: Cross multiply
    870.22x = 1,306.95 × 797.95
  4. Step 4: Simplify right side
    870.22x = 1,042,880.75
  5. Step 5: Solve for x
    x = 1,042,880.75/870.22
  6. Step 6: Final answer
    x = 1,198.41

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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.