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Finding the Fourth Proportional to 613, 923.77 and 512.56

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Solution

The fourth proportional to 613, 923.77 and 512.56 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 923.77 = 512.56 : x
  2. Step 2: Convert to fraction form
    613/923.77 = 512.56/x
  3. Step 3: Cross multiply
    613x = 923.77 × 512.56
  4. Step 4: Simplify right side
    613x = 473,487.55
  5. Step 5: Solve for x
    x = 473,487.55/613
  6. Step 6: Final answer
    x = 772.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.