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Finding the Fourth Proportional to 720.10, 994.42 and 573.81

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Solution

The fourth proportional to 720.10, 994.42 and 573.81 is: 792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.10 : 994.42 = 573.81 : x
  2. Step 2: Convert to fraction form
    720.10/994.42 = 573.81/x
  3. Step 3: Cross multiply
    720.10x = 994.42 × 573.81
  4. Step 4: Simplify right side
    720.10x = 570,608.14
  5. Step 5: Solve for x
    x = 570,608.14/720.10
  6. Step 6: Final answer
    x = 792.40

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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.