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Finding the Fourth Proportional to 643.48, 886.14 and 612.76

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Solution

The fourth proportional to 643.48, 886.14 and 612.76 is: 843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 886.14 = 612.76 : x
  2. Step 2: Convert to fraction form
    643.48/886.14 = 612.76/x
  3. Step 3: Cross multiply
    643.48x = 886.14 × 612.76
  4. Step 4: Simplify right side
    643.48x = 542,991.15
  5. Step 5: Solve for x
    x = 542,991.15/643.48
  6. Step 6: Final answer
    x = 843.84

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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.