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Finding the Fourth Proportional to 619.20, 854.56 and 600.08

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Solution

The fourth proportional to 619.20, 854.56 and 600.08 is: 828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 854.56 = 600.08 : x
  2. Step 2: Convert to fraction form
    619.20/854.56 = 600.08/x
  3. Step 3: Cross multiply
    619.20x = 854.56 × 600.08
  4. Step 4: Simplify right side
    619.20x = 512,804.36
  5. Step 5: Solve for x
    x = 512,804.36/619.20
  6. Step 6: Final answer
    x = 828.17

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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.