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Finding the Fourth Proportional to 1,164.75, 1,607.43 and 667.55

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Solution

The fourth proportional to 1,164.75, 1,607.43 and 667.55 is: 921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.75 : 1,607.43 = 667.55 : x
  2. Step 2: Convert to fraction form
    1,164.75/1,607.43 = 667.55/x
  3. Step 3: Cross multiply
    1,164.75x = 1,607.43 × 667.55
  4. Step 4: Simplify right side
    1,164.75x = 1,073,031.86
  5. Step 5: Solve for x
    x = 1,073,031.86/1,164.75
  6. Step 6: Final answer
    x = 921.26

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