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Finding the Fourth Proportional to 851.41, 1,275.85 and 698.41

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Solution

The fourth proportional to 851.41, 1,275.85 and 698.41 is: 1,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.41 : 1,275.85 = 698.41 : x
  2. Step 2: Convert to fraction form
    851.41/1,275.85 = 698.41/x
  3. Step 3: Cross multiply
    851.41x = 1,275.85 × 698.41
  4. Step 4: Simplify right side
    851.41x = 891,066.40
  5. Step 5: Solve for x
    x = 891,066.40/851.41
  6. Step 6: Final answer
    x = 1,046.58

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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.