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Finding the Fourth Proportional to 606.02, 906.98 and 507.62

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Solution

The fourth proportional to 606.02, 906.98 and 507.62 is: 759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.02 : 906.98 = 507.62 : x
  2. Step 2: Convert to fraction form
    606.02/906.98 = 507.62/x
  3. Step 3: Cross multiply
    606.02x = 906.98 × 507.62
  4. Step 4: Simplify right side
    606.02x = 460,397.92
  5. Step 5: Solve for x
    x = 460,397.92/606.02
  6. Step 6: Final answer
    x = 759.71

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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.