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Finding the Fourth Proportional to 671.42, 925.34 and 640.38

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Solution

The fourth proportional to 671.42, 925.34 and 640.38 is: 882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 925.34 = 640.38 : x
  2. Step 2: Convert to fraction form
    671.42/925.34 = 640.38/x
  3. Step 3: Cross multiply
    671.42x = 925.34 × 640.38
  4. Step 4: Simplify right side
    671.42x = 592,569.23
  5. Step 5: Solve for x
    x = 592,569.23/671.42
  6. Step 6: Final answer
    x = 882.56

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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.