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Finding the Fourth Proportional to 1,164.89, 1,748.43 and 425.22

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Solution

The fourth proportional to 1,164.89, 1,748.43 and 425.22 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.89 : 1,748.43 = 425.22 : x
  2. Step 2: Convert to fraction form
    1,164.89/1,748.43 = 425.22/x
  3. Step 3: Cross multiply
    1,164.89x = 1,748.43 × 425.22
  4. Step 4: Simplify right side
    1,164.89x = 743,458.66
  5. Step 5: Solve for x
    x = 743,458.66/1,164.89
  6. Step 6: Final answer
    x = 638.22

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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.