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Finding the Fourth Proportional to 993.56, 1,370.90 and 600.51

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Solution

The fourth proportional to 993.56, 1,370.90 and 600.51 is: 828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.56 : 1,370.90 = 600.51 : x
  2. Step 2: Convert to fraction form
    993.56/1,370.90 = 600.51/x
  3. Step 3: Cross multiply
    993.56x = 1,370.90 × 600.51
  4. Step 4: Simplify right side
    993.56x = 823,236.16
  5. Step 5: Solve for x
    x = 823,236.16/993.56
  6. Step 6: Final answer
    x = 828.58

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Why These Related Problems?

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