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Finding the Fourth Proportional to 1,164, 1,748.49 and 731.46

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Solution

The fourth proportional to 1,164, 1,748.49 and 731.46 is: 1,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 1,748.49 = 731.46 : x
  2. Step 2: Convert to fraction form
    1,164/1,748.49 = 731.46/x
  3. Step 3: Cross multiply
    1,164x = 1,748.49 × 731.46
  4. Step 4: Simplify right side
    1,164x = 1,278,950.50
  5. Step 5: Solve for x
    x = 1,278,950.50/1,164
  6. Step 6: Final answer
    x = 1,098.75

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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.