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Finding the Fourth Proportional to 600.18, 899.73 and 512.16

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Solution

The fourth proportional to 600.18, 899.73 and 512.16 is: 767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.18 : 899.73 = 512.16 : x
  2. Step 2: Convert to fraction form
    600.18/899.73 = 512.16/x
  3. Step 3: Cross multiply
    600.18x = 899.73 × 512.16
  4. Step 4: Simplify right side
    600.18x = 460,805.72
  5. Step 5: Solve for x
    x = 460,805.72/600.18
  6. Step 6: Final answer
    x = 767.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.