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Finding the Fourth Proportional to 863.29, 1,191.13 and 485.09

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Solution

The fourth proportional to 863.29, 1,191.13 and 485.09 is: 669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.29 : 1,191.13 = 485.09 : x
  2. Step 2: Convert to fraction form
    863.29/1,191.13 = 485.09/x
  3. Step 3: Cross multiply
    863.29x = 1,191.13 × 485.09
  4. Step 4: Simplify right side
    863.29x = 577,807.02
  5. Step 5: Solve for x
    x = 577,807.02/863.29
  6. Step 6: Final answer
    x = 669.31

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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.