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Finding the Fourth Proportional to 671.35, 926.63 and 523.93

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Solution

The fourth proportional to 671.35, 926.63 and 523.93 is: 723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.35 : 926.63 = 523.93 : x
  2. Step 2: Convert to fraction form
    671.35/926.63 = 523.93/x
  3. Step 3: Cross multiply
    671.35x = 926.63 × 523.93
  4. Step 4: Simplify right side
    671.35x = 485,489.26
  5. Step 5: Solve for x
    x = 485,489.26/671.35
  6. Step 6: Final answer
    x = 723.15

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