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Finding the Fourth Proportional to 651.73, 977.64 and 189.51

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Solution

The fourth proportional to 651.73, 977.64 and 189.51 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.73 : 977.64 = 189.51 : x
  2. Step 2: Convert to fraction form
    651.73/977.64 = 189.51/x
  3. Step 3: Cross multiply
    651.73x = 977.64 × 189.51
  4. Step 4: Simplify right side
    651.73x = 185,272.56
  5. Step 5: Solve for x
    x = 185,272.56/651.73
  6. Step 6: Final answer
    x = 284.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.