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Finding the Fourth Proportional to 1,165.96, 1,748.56 and 385.78

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Solution

The fourth proportional to 1,165.96, 1,748.56 and 385.78 is: 578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.96 : 1,748.56 = 385.78 : x
  2. Step 2: Convert to fraction form
    1,165.96/1,748.56 = 385.78/x
  3. Step 3: Cross multiply
    1,165.96x = 1,748.56 × 385.78
  4. Step 4: Simplify right side
    1,165.96x = 674,559.48
  5. Step 5: Solve for x
    x = 674,559.48/1,165.96
  6. Step 6: Final answer
    x = 578.54

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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.