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Finding the Fourth Proportional to 809.12, 1,116.32 and 494.27

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Solution

The fourth proportional to 809.12, 1,116.32 and 494.27 is: 681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.12 : 1,116.32 = 494.27 : x
  2. Step 2: Convert to fraction form
    809.12/1,116.32 = 494.27/x
  3. Step 3: Cross multiply
    809.12x = 1,116.32 × 494.27
  4. Step 4: Simplify right side
    809.12x = 551,763.49
  5. Step 5: Solve for x
    x = 551,763.49/809.12
  6. Step 6: Final answer
    x = 681.93

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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.