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Finding the Fourth Proportional to 720.19, 993.63 and 471.79

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Solution

The fourth proportional to 720.19, 993.63 and 471.79 is: 650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.19 : 993.63 = 471.79 : x
  2. Step 2: Convert to fraction form
    720.19/993.63 = 471.79/x
  3. Step 3: Cross multiply
    720.19x = 993.63 × 471.79
  4. Step 4: Simplify right side
    720.19x = 468,784.70
  5. Step 5: Solve for x
    x = 468,784.70/720.19
  6. Step 6: Final answer
    x = 650.92

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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.