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Finding the Fourth Proportional to 751.91, 1,037.34 and 502.97

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Solution

The fourth proportional to 751.91, 1,037.34 and 502.97 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.91 : 1,037.34 = 502.97 : x
  2. Step 2: Convert to fraction form
    751.91/1,037.34 = 502.97/x
  3. Step 3: Cross multiply
    751.91x = 1,037.34 × 502.97
  4. Step 4: Simplify right side
    751.91x = 521,745.71
  5. Step 5: Solve for x
    x = 521,745.71/751.91
  6. Step 6: Final answer
    x = 693.90

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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.