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Finding the Fourth Proportional to 600.66, 827.12 and 587.03

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Solution

The fourth proportional to 600.66, 827.12 and 587.03 is: 808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.66 : 827.12 = 587.03 : x
  2. Step 2: Convert to fraction form
    600.66/827.12 = 587.03/x
  3. Step 3: Cross multiply
    600.66x = 827.12 × 587.03
  4. Step 4: Simplify right side
    600.66x = 485,541.59
  5. Step 5: Solve for x
    x = 485,541.59/600.66
  6. Step 6: Final answer
    x = 808.35

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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.