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Finding the Fourth Proportional to 720.69, 994.62 and 472.14

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Solution

The fourth proportional to 720.69, 994.62 and 472.14 is: 651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.69 : 994.62 = 472.14 : x
  2. Step 2: Convert to fraction form
    720.69/994.62 = 472.14/x
  3. Step 3: Cross multiply
    720.69x = 994.62 × 472.14
  4. Step 4: Simplify right side
    720.69x = 469,599.89
  5. Step 5: Solve for x
    x = 469,599.89/720.69
  6. Step 6: Final answer
    x = 651.60

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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.