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Finding the Fourth Proportional to 720.54, 994.01 and 454.86

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Solution

The fourth proportional to 720.54, 994.01 and 454.86 is: 627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.54 : 994.01 = 454.86 : x
  2. Step 2: Convert to fraction form
    720.54/994.01 = 454.86/x
  3. Step 3: Cross multiply
    720.54x = 994.01 × 454.86
  4. Step 4: Simplify right side
    720.54x = 452,133.11
  5. Step 5: Solve for x
    x = 452,133.11/720.54
  6. Step 6: Final answer
    x = 627.49

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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.