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Finding the Fourth Proportional to 720.58, 994.56 and 602.42

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Solution

The fourth proportional to 720.58, 994.56 and 602.42 is: 831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.58 : 994.56 = 602.42 : x
  2. Step 2: Convert to fraction form
    720.58/994.56 = 602.42/x
  3. Step 3: Cross multiply
    720.58x = 994.56 × 602.42
  4. Step 4: Simplify right side
    720.58x = 599,142.84
  5. Step 5: Solve for x
    x = 599,142.84/720.58
  6. Step 6: Final answer
    x = 831.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.