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Finding the Fourth Proportional to 697.68, 961.98 and 476.76

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Solution

The fourth proportional to 697.68, 961.98 and 476.76 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.68 : 961.98 = 476.76 : x
  2. Step 2: Convert to fraction form
    697.68/961.98 = 476.76/x
  3. Step 3: Cross multiply
    697.68x = 961.98 × 476.76
  4. Step 4: Simplify right side
    697.68x = 458,633.58
  5. Step 5: Solve for x
    x = 458,633.58/697.68
  6. Step 6: Final answer
    x = 657.37

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Half scale
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Double scale
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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.