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Finding the Fourth Proportional to 645.91, 892.23 and 507.79

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Solution

The fourth proportional to 645.91, 892.23 and 507.79 is: 701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.91 : 892.23 = 507.79 : x
  2. Step 2: Convert to fraction form
    645.91/892.23 = 507.79/x
  3. Step 3: Cross multiply
    645.91x = 892.23 × 507.79
  4. Step 4: Simplify right side
    645.91x = 453,065.47
  5. Step 5: Solve for x
    x = 453,065.47/645.91
  6. Step 6: Final answer
    x = 701.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.