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Finding the Fourth Proportional to 645.15, 966.35 and 600.20

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Solution

The fourth proportional to 645.15, 966.35 and 600.20 is: 899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.15 : 966.35 = 600.20 : x
  2. Step 2: Convert to fraction form
    645.15/966.35 = 600.20/x
  3. Step 3: Cross multiply
    645.15x = 966.35 × 600.20
  4. Step 4: Simplify right side
    645.15x = 579,995.44
  5. Step 5: Solve for x
    x = 579,995.44/645.15
  6. Step 6: Final answer
    x = 899.01

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