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Finding the Fourth Proportional to 720.78, 994.30 and 472.51

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Solution

The fourth proportional to 720.78, 994.30 and 472.51 is: 651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.78 : 994.30 = 472.51 : x
  2. Step 2: Convert to fraction form
    720.78/994.30 = 472.51/x
  3. Step 3: Cross multiply
    720.78x = 994.30 × 472.51
  4. Step 4: Simplify right side
    720.78x = 469,816.69
  5. Step 5: Solve for x
    x = 469,816.69/720.78
  6. Step 6: Final answer
    x = 651.82

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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.