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Finding the Fourth Proportional to 1,164.64, 1,747.37 and 471.08

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Solution

The fourth proportional to 1,164.64, 1,747.37 and 471.08 is: 706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.64 : 1,747.37 = 471.08 : x
  2. Step 2: Convert to fraction form
    1,164.64/1,747.37 = 471.08/x
  3. Step 3: Cross multiply
    1,164.64x = 1,747.37 × 471.08
  4. Step 4: Simplify right side
    1,164.64x = 823,151.06
  5. Step 5: Solve for x
    x = 823,151.06/1,164.64
  6. Step 6: Final answer
    x = 706.79

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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.