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Finding the Fourth Proportional to 1,165.43, 1,748.06 and 385.35

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Solution

The fourth proportional to 1,165.43, 1,748.06 and 385.35 is: 578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.43 : 1,748.06 = 385.35 : x
  2. Step 2: Convert to fraction form
    1,165.43/1,748.06 = 385.35/x
  3. Step 3: Cross multiply
    1,165.43x = 1,748.06 × 385.35
  4. Step 4: Simplify right side
    1,165.43x = 673,614.92
  5. Step 5: Solve for x
    x = 673,614.92/1,165.43
  6. Step 6: Final answer
    x = 578.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.