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Finding the Fourth Proportional to 779.85, 1,170.01 and 232.05

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Solution

The fourth proportional to 779.85, 1,170.01 and 232.05 is: 348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.85 : 1,170.01 = 232.05 : x
  2. Step 2: Convert to fraction form
    779.85/1,170.01 = 232.05/x
  3. Step 3: Cross multiply
    779.85x = 1,170.01 × 232.05
  4. Step 4: Simplify right side
    779.85x = 271,500.24
  5. Step 5: Solve for x
    x = 271,500.24/779.85
  6. Step 6: Final answer
    x = 348.14

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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.