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Finding the Fourth Proportional to 696.69, 961.56 and 401.99

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Solution

The fourth proportional to 696.69, 961.56 and 401.99 is: 554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.69 : 961.56 = 401.99 : x
  2. Step 2: Convert to fraction form
    696.69/961.56 = 401.99/x
  3. Step 3: Cross multiply
    696.69x = 961.56 × 401.99
  4. Step 4: Simplify right side
    696.69x = 386,532.70
  5. Step 5: Solve for x
    x = 386,532.70/696.69
  6. Step 6: Final answer
    x = 554.81

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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.