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Finding the Fourth Proportional to 1,164.43, 1,607.05 and 667.23

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Solution

The fourth proportional to 1,164.43, 1,607.05 and 667.23 is: 920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.43 : 1,607.05 = 667.23 : x
  2. Step 2: Convert to fraction form
    1,164.43/1,607.05 = 667.23/x
  3. Step 3: Cross multiply
    1,164.43x = 1,607.05 × 667.23
  4. Step 4: Simplify right side
    1,164.43x = 1,072,271.97
  5. Step 5: Solve for x
    x = 1,072,271.97/1,164.43
  6. Step 6: Final answer
    x = 920.86

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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.