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Finding the Fourth Proportional to 674.92, 929.06 and 571.24

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Solution

The fourth proportional to 674.92, 929.06 and 571.24 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 929.06 = 571.24 : x
  2. Step 2: Convert to fraction form
    674.92/929.06 = 571.24/x
  3. Step 3: Cross multiply
    674.92x = 929.06 × 571.24
  4. Step 4: Simplify right side
    674.92x = 530,716.23
  5. Step 5: Solve for x
    x = 530,716.23/674.92
  6. Step 6: Final answer
    x = 786.34

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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.