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Finding the Fourth Proportional to 1,165.50, 1,748.46 and 385.32

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Solution

The fourth proportional to 1,165.50, 1,748.46 and 385.32 is: 578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.50 : 1,748.46 = 385.32 : x
  2. Step 2: Convert to fraction form
    1,165.50/1,748.46 = 385.32/x
  3. Step 3: Cross multiply
    1,165.50x = 1,748.46 × 385.32
  4. Step 4: Simplify right side
    1,165.50x = 673,716.61
  5. Step 5: Solve for x
    x = 673,716.61/1,165.50
  6. Step 6: Final answer
    x = 578.05

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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.