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Finding the Fourth Proportional to 1,165.75, 1,748.90 and 396.25

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Solution

The fourth proportional to 1,165.75, 1,748.90 and 396.25 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.75 : 1,748.90 = 396.25 : x
  2. Step 2: Convert to fraction form
    1,165.75/1,748.90 = 396.25/x
  3. Step 3: Cross multiply
    1,165.75x = 1,748.90 × 396.25
  4. Step 4: Simplify right side
    1,165.75x = 693,001.63
  5. Step 5: Solve for x
    x = 693,001.63/1,165.75
  6. Step 6: Final answer
    x = 594.47

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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.