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Finding the Fourth Proportional to 696.72, 961.72 and 463.92

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Solution

The fourth proportional to 696.72, 961.72 and 463.92 is: 640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 961.72 = 463.92 : x
  2. Step 2: Convert to fraction form
    696.72/961.72 = 463.92/x
  3. Step 3: Cross multiply
    696.72x = 961.72 × 463.92
  4. Step 4: Simplify right side
    696.72x = 446,161.14
  5. Step 5: Solve for x
    x = 446,161.14/696.72
  6. Step 6: Final answer
    x = 640.37

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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.