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Finding the Fourth Proportional to 1,164.72, 1,747.10 and 471.26

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Solution

The fourth proportional to 1,164.72, 1,747.10 and 471.26 is: 706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.72 : 1,747.10 = 471.26 : x
  2. Step 2: Convert to fraction form
    1,164.72/1,747.10 = 471.26/x
  3. Step 3: Cross multiply
    1,164.72x = 1,747.10 × 471.26
  4. Step 4: Simplify right side
    1,164.72x = 823,338.35
  5. Step 5: Solve for x
    x = 823,338.35/1,164.72
  6. Step 6: Final answer
    x = 706.90

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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.