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Finding the Fourth Proportional to 1,165.85, 1,748.40 and 385.71

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Solution

The fourth proportional to 1,165.85, 1,748.40 and 385.71 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.85 : 1,748.40 = 385.71 : x
  2. Step 2: Convert to fraction form
    1,165.85/1,748.40 = 385.71/x
  3. Step 3: Cross multiply
    1,165.85x = 1,748.40 × 385.71
  4. Step 4: Simplify right side
    1,165.85x = 674,375.36
  5. Step 5: Solve for x
    x = 674,375.36/1,165.85
  6. Step 6: Final answer
    x = 578.44

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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.