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Finding the Fourth Proportional to 696.39, 961.62 and 522.63

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Solution

The fourth proportional to 696.39, 961.62 and 522.63 is: 721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.39 : 961.62 = 522.63 : x
  2. Step 2: Convert to fraction form
    696.39/961.62 = 522.63/x
  3. Step 3: Cross multiply
    696.39x = 961.62 × 522.63
  4. Step 4: Simplify right side
    696.39x = 502,571.46
  5. Step 5: Solve for x
    x = 502,571.46/696.39
  6. Step 6: Final answer
    x = 721.68

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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.