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Finding the Fourth Proportional to 720.76, 994.51 and 410.26

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Solution

The fourth proportional to 720.76, 994.51 and 410.26 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.76 : 994.51 = 410.26 : x
  2. Step 2: Convert to fraction form
    720.76/994.51 = 410.26/x
  3. Step 3: Cross multiply
    720.76x = 994.51 × 410.26
  4. Step 4: Simplify right side
    720.76x = 408,007.67
  5. Step 5: Solve for x
    x = 408,007.67/720.76
  6. Step 6: Final answer
    x = 566.08

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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.