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Finding the Fourth Proportional to 696.42, 961.34 and 447.75

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Solution

The fourth proportional to 696.42, 961.34 and 447.75 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 961.34 = 447.75 : x
  2. Step 2: Convert to fraction form
    696.42/961.34 = 447.75/x
  3. Step 3: Cross multiply
    696.42x = 961.34 × 447.75
  4. Step 4: Simplify right side
    696.42x = 430,437.75
  5. Step 5: Solve for x
    x = 430,437.75/696.42
  6. Step 6: Final answer
    x = 618.07

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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.