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Finding the Fourth Proportional to 664.99, 993.02 and 578.54

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Solution

The fourth proportional to 664.99, 993.02 and 578.54 is: 863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.99 : 993.02 = 578.54 : x
  2. Step 2: Convert to fraction form
    664.99/993.02 = 578.54/x
  3. Step 3: Cross multiply
    664.99x = 993.02 × 578.54
  4. Step 4: Simplify right side
    664.99x = 574,501.38
  5. Step 5: Solve for x
    x = 574,501.38/664.99
  6. Step 6: Final answer
    x = 863.93

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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.