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Finding the Fourth Proportional to 720.92, 994.92 and 410.42

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Solution

The fourth proportional to 720.92, 994.92 and 410.42 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.92 : 994.92 = 410.42 : x
  2. Step 2: Convert to fraction form
    720.92/994.92 = 410.42/x
  3. Step 3: Cross multiply
    720.92x = 994.92 × 410.42
  4. Step 4: Simplify right side
    720.92x = 408,335.07
  5. Step 5: Solve for x
    x = 408,335.07/720.92
  6. Step 6: Final answer
    x = 566.41

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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.