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Finding the Fourth Proportional to 1,164, 1,743.55 and 725.46

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Solution

The fourth proportional to 1,164, 1,743.55 and 725.46 is: 1,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 1,743.55 = 725.46 : x
  2. Step 2: Convert to fraction form
    1,164/1,743.55 = 725.46/x
  3. Step 3: Cross multiply
    1,164x = 1,743.55 × 725.46
  4. Step 4: Simplify right side
    1,164x = 1,264,873.97
  5. Step 5: Solve for x
    x = 1,264,873.97/1,164
  6. Step 6: Final answer
    x = 1,086.66

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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.