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Finding the Fourth Proportional to 793.13, 1,187.82 and 468.72

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Solution

The fourth proportional to 793.13, 1,187.82 and 468.72 is: 701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.13 : 1,187.82 = 468.72 : x
  2. Step 2: Convert to fraction form
    793.13/1,187.82 = 468.72/x
  3. Step 3: Cross multiply
    793.13x = 1,187.82 × 468.72
  4. Step 4: Simplify right side
    793.13x = 556,754.99
  5. Step 5: Solve for x
    x = 556,754.99/793.13
  6. Step 6: Final answer
    x = 701.98

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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.