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Finding the Fourth Proportional to 1,194.73, 1,648.64 and 697.31

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Solution

The fourth proportional to 1,194.73, 1,648.64 and 697.31 is: 962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.73 : 1,648.64 = 697.31 : x
  2. Step 2: Convert to fraction form
    1,194.73/1,648.64 = 697.31/x
  3. Step 3: Cross multiply
    1,194.73x = 1,648.64 × 697.31
  4. Step 4: Simplify right side
    1,194.73x = 1,149,601.43
  5. Step 5: Solve for x
    x = 1,149,601.43/1,194.73
  6. Step 6: Final answer
    x = 962.23

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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.