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Finding the Fourth Proportional to 835.86, 1,253.33 and 663.63

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Solution

The fourth proportional to 835.86, 1,253.33 and 663.63 is: 995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.86 : 1,253.33 = 663.63 : x
  2. Step 2: Convert to fraction form
    835.86/1,253.33 = 663.63/x
  3. Step 3: Cross multiply
    835.86x = 1,253.33 × 663.63
  4. Step 4: Simplify right side
    835.86x = 831,746.56
  5. Step 5: Solve for x
    x = 831,746.56/835.86
  6. Step 6: Final answer
    x = 995.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.