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Finding the Fourth Proportional to 866.95, 1,196.41 and 473.96

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Solution

The fourth proportional to 866.95, 1,196.41 and 473.96 is: 654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.95 : 1,196.41 = 473.96 : x
  2. Step 2: Convert to fraction form
    866.95/1,196.41 = 473.96/x
  3. Step 3: Cross multiply
    866.95x = 1,196.41 × 473.96
  4. Step 4: Simplify right side
    866.95x = 567,052.29
  5. Step 5: Solve for x
    x = 567,052.29/866.95
  6. Step 6: Final answer
    x = 654.08

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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.