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Finding the Fourth Proportional to 809.64, 1,118.34 and 576.36

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Solution

The fourth proportional to 809.64, 1,118.34 and 576.36 is: 796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.64 : 1,118.34 = 576.36 : x
  2. Step 2: Convert to fraction form
    809.64/1,118.34 = 576.36/x
  3. Step 3: Cross multiply
    809.64x = 1,118.34 × 576.36
  4. Step 4: Simplify right side
    809.64x = 644,566.44
  5. Step 5: Solve for x
    x = 644,566.44/809.64
  6. Step 6: Final answer
    x = 796.11

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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.