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Finding the Fourth Proportional to 967.85, 1,334.93 and 897.68

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Solution

The fourth proportional to 967.85, 1,334.93 and 897.68 is: 1,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.85 : 1,334.93 = 897.68 : x
  2. Step 2: Convert to fraction form
    967.85/1,334.93 = 897.68/x
  3. Step 3: Cross multiply
    967.85x = 1,334.93 × 897.68
  4. Step 4: Simplify right side
    967.85x = 1,198,328.80
  5. Step 5: Solve for x
    x = 1,198,328.80/967.85
  6. Step 6: Final answer
    x = 1,238.14

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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.