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Finding the Fourth Proportional to 1,216.78, 1,679.07 and 955.42

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Solution

The fourth proportional to 1,216.78, 1,679.07 and 955.42 is: 1,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.78 : 1,679.07 = 955.42 : x
  2. Step 2: Convert to fraction form
    1,216.78/1,679.07 = 955.42/x
  3. Step 3: Cross multiply
    1,216.78x = 1,679.07 × 955.42
  4. Step 4: Simplify right side
    1,216.78x = 1,604,217.06
  5. Step 5: Solve for x
    x = 1,604,217.06/1,216.78
  6. Step 6: Final answer
    x = 1,318.41

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1.5x scale

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.