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Finding the Fourth Proportional to 604.72, 905.93 and 507.86

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Solution

The fourth proportional to 604.72, 905.93 and 507.86 is: 760.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 905.93 = 507.86 : x
  2. Step 2: Convert to fraction form
    604.72/905.93 = 507.86/x
  3. Step 3: Cross multiply
    604.72x = 905.93 × 507.86
  4. Step 4: Simplify right side
    604.72x = 460,078.54
  5. Step 5: Solve for x
    x = 460,078.54/604.72
  6. Step 6: Final answer
    x = 760.82

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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.