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Finding the Fourth Proportional to 1,169.16, 1,754.09 and 475.70

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Solution

The fourth proportional to 1,169.16, 1,754.09 and 475.70 is: 713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.16 : 1,754.09 = 475.70 : x
  2. Step 2: Convert to fraction form
    1,169.16/1,754.09 = 475.70/x
  3. Step 3: Cross multiply
    1,169.16x = 1,754.09 × 475.70
  4. Step 4: Simplify right side
    1,169.16x = 834,420.61
  5. Step 5: Solve for x
    x = 834,420.61/1,169.16
  6. Step 6: Final answer
    x = 713.69

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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.