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Finding the Fourth Proportional to 654.12, 976.95 and 517.32

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Solution

The fourth proportional to 654.12, 976.95 and 517.32 is: 772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 976.95 = 517.32 : x
  2. Step 2: Convert to fraction form
    654.12/976.95 = 517.32/x
  3. Step 3: Cross multiply
    654.12x = 976.95 × 517.32
  4. Step 4: Simplify right side
    654.12x = 505,395.77
  5. Step 5: Solve for x
    x = 505,395.77/654.12
  6. Step 6: Final answer
    x = 772.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.