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Finding the Fourth Proportional to 863.85, 1,191.47 and 548.84

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Solution

The fourth proportional to 863.85, 1,191.47 and 548.84 is: 756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.85 : 1,191.47 = 548.84 : x
  2. Step 2: Convert to fraction form
    863.85/1,191.47 = 548.84/x
  3. Step 3: Cross multiply
    863.85x = 1,191.47 × 548.84
  4. Step 4: Simplify right side
    863.85x = 653,926.39
  5. Step 5: Solve for x
    x = 653,926.39/863.85
  6. Step 6: Final answer
    x = 756.99

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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.