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Finding the Fourth Proportional to 999.02, 1,378.56 and 600.70

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Solution

The fourth proportional to 999.02, 1,378.56 and 600.70 is: 828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.02 : 1,378.56 = 600.70 : x
  2. Step 2: Convert to fraction form
    999.02/1,378.56 = 600.70/x
  3. Step 3: Cross multiply
    999.02x = 1,378.56 × 600.70
  4. Step 4: Simplify right side
    999.02x = 828,100.99
  5. Step 5: Solve for x
    x = 828,100.99/999.02
  6. Step 6: Final answer
    x = 828.91

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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.