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Finding the Fourth Proportional to 720.76, 994.38 and 440.80

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Solution

The fourth proportional to 720.76, 994.38 and 440.80 is: 608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.76 : 994.38 = 440.80 : x
  2. Step 2: Convert to fraction form
    720.76/994.38 = 440.80/x
  3. Step 3: Cross multiply
    720.76x = 994.38 × 440.80
  4. Step 4: Simplify right side
    720.76x = 438,322.70
  5. Step 5: Solve for x
    x = 438,322.70/720.76
  6. Step 6: Final answer
    x = 608.14

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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.