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Finding the Fourth Proportional to 866.87, 1,196.25 and 473.88

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Solution

The fourth proportional to 866.87, 1,196.25 and 473.88 is: 653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.87 : 1,196.25 = 473.88 : x
  2. Step 2: Convert to fraction form
    866.87/1,196.25 = 473.88/x
  3. Step 3: Cross multiply
    866.87x = 1,196.25 × 473.88
  4. Step 4: Simplify right side
    866.87x = 566,878.95
  5. Step 5: Solve for x
    x = 566,878.95/866.87
  6. Step 6: Final answer
    x = 653.94

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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.