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Finding the Fourth Proportional to 1,169.06, 1,753.26 and 347.32

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Solution

The fourth proportional to 1,169.06, 1,753.26 and 347.32 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.06 : 1,753.26 = 347.32 : x
  2. Step 2: Convert to fraction form
    1,169.06/1,753.26 = 347.32/x
  3. Step 3: Cross multiply
    1,169.06x = 1,753.26 × 347.32
  4. Step 4: Simplify right side
    1,169.06x = 608,942.26
  5. Step 5: Solve for x
    x = 608,942.26/1,169.06
  6. Step 6: Final answer
    x = 520.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.