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Finding the Fourth Proportional to 1,191.48, 1,644.41 and 694.39

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Solution

The fourth proportional to 1,191.48, 1,644.41 and 694.39 is: 958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.48 : 1,644.41 = 694.39 : x
  2. Step 2: Convert to fraction form
    1,191.48/1,644.41 = 694.39/x
  3. Step 3: Cross multiply
    1,191.48x = 1,644.41 × 694.39
  4. Step 4: Simplify right side
    1,191.48x = 1,141,858.39
  5. Step 5: Solve for x
    x = 1,141,858.39/1,191.48
  6. Step 6: Final answer
    x = 958.36

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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.