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Finding the Fourth Proportional to 665.16, 993.81 and 520.98

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Solution

The fourth proportional to 665.16, 993.81 and 520.98 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 993.81 = 520.98 : x
  2. Step 2: Convert to fraction form
    665.16/993.81 = 520.98/x
  3. Step 3: Cross multiply
    665.16x = 993.81 × 520.98
  4. Step 4: Simplify right side
    665.16x = 517,755.13
  5. Step 5: Solve for x
    x = 517,755.13/665.16
  6. Step 6: Final answer
    x = 778.39

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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.