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Finding the Fourth Proportional to 779.52, 1,170.24 and 552.96

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Solution

The fourth proportional to 779.52, 1,170.24 and 552.96 is: 830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.52 : 1,170.24 = 552.96 : x
  2. Step 2: Convert to fraction form
    779.52/1,170.24 = 552.96/x
  3. Step 3: Cross multiply
    779.52x = 1,170.24 × 552.96
  4. Step 4: Simplify right side
    779.52x = 647,095.91
  5. Step 5: Solve for x
    x = 647,095.91/779.52
  6. Step 6: Final answer
    x = 830.12

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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.