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Finding the Fourth Proportional to 671.42, 926.42 and 540.74

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Solution

The fourth proportional to 671.42, 926.42 and 540.74 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 926.42 = 540.74 : x
  2. Step 2: Convert to fraction form
    671.42/926.42 = 540.74/x
  3. Step 3: Cross multiply
    671.42x = 926.42 × 540.74
  4. Step 4: Simplify right side
    671.42x = 500,952.35
  5. Step 5: Solve for x
    x = 500,952.35/671.42
  6. Step 6: Final answer
    x = 746.11

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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.