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Finding the Fourth Proportional to 1,194.27, 1,648.06 and 696.95

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Solution

The fourth proportional to 1,194.27, 1,648.06 and 696.95 is: 961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.27 : 1,648.06 = 696.95 : x
  2. Step 2: Convert to fraction form
    1,194.27/1,648.06 = 696.95/x
  3. Step 3: Cross multiply
    1,194.27x = 1,648.06 × 696.95
  4. Step 4: Simplify right side
    1,194.27x = 1,148,615.42
  5. Step 5: Solve for x
    x = 1,148,615.42/1,194.27
  6. Step 6: Final answer
    x = 961.77

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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.