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Finding the Fourth Proportional to 1,164.78, 1,607.26 and 667.28

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Solution

The fourth proportional to 1,164.78, 1,607.26 and 667.28 is: 920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.78 : 1,607.26 = 667.28 : x
  2. Step 2: Convert to fraction form
    1,164.78/1,607.26 = 667.28/x
  3. Step 3: Cross multiply
    1,164.78x = 1,607.26 × 667.28
  4. Step 4: Simplify right side
    1,164.78x = 1,072,481.08
  5. Step 5: Solve for x
    x = 1,072,481.08/1,164.78
  6. Step 6: Final answer
    x = 920.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.