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Finding the Fourth Proportional to 1,169.37, 1,754.05 and 347.65

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Solution

The fourth proportional to 1,169.37, 1,754.05 and 347.65 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.37 : 1,754.05 = 347.65 : x
  2. Step 2: Convert to fraction form
    1,169.37/1,754.05 = 347.65/x
  3. Step 3: Cross multiply
    1,169.37x = 1,754.05 × 347.65
  4. Step 4: Simplify right side
    1,169.37x = 609,791.53
  5. Step 5: Solve for x
    x = 609,791.53/1,169.37
  6. Step 6: Final answer
    x = 521.47

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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.