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Finding the Fourth Proportional to 993.64, 1,371.00 and 600.66

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Solution

The fourth proportional to 993.64, 1,371.00 and 600.66 is: 828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.64 : 1,371.00 = 600.66 : x
  2. Step 2: Convert to fraction form
    993.64/1,371.00 = 600.66/x
  3. Step 3: Cross multiply
    993.64x = 1,371.00 × 600.66
  4. Step 4: Simplify right side
    993.64x = 823,499.51
  5. Step 5: Solve for x
    x = 823,499.51/993.64
  6. Step 6: Final answer
    x = 828.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.