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Finding the Fourth Proportional to 779.98, 1,169.70 and 347.44

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Solution

The fourth proportional to 779.98, 1,169.70 and 347.44 is: 521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.98 : 1,169.70 = 347.44 : x
  2. Step 2: Convert to fraction form
    779.98/1,169.70 = 347.44/x
  3. Step 3: Cross multiply
    779.98x = 1,169.70 × 347.44
  4. Step 4: Simplify right side
    779.98x = 406,400.57
  5. Step 5: Solve for x
    x = 406,400.57/779.98
  6. Step 6: Final answer
    x = 521.04

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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.