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Finding the Fourth Proportional to 993.02, 1,370.14 and 600.03

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Solution

The fourth proportional to 993.02, 1,370.14 and 600.03 is: 827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.02 : 1,370.14 = 600.03 : x
  2. Step 2: Convert to fraction form
    993.02/1,370.14 = 600.03/x
  3. Step 3: Cross multiply
    993.02x = 1,370.14 × 600.03
  4. Step 4: Simplify right side
    993.02x = 822,123.60
  5. Step 5: Solve for x
    x = 822,123.60/993.02
  6. Step 6: Final answer
    x = 827.91

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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.