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Finding the Fourth Proportional to 1,165.41, 1,748.10 and 548.78

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Solution

The fourth proportional to 1,165.41, 1,748.10 and 548.78 is: 823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.41 : 1,748.10 = 548.78 : x
  2. Step 2: Convert to fraction form
    1,165.41/1,748.10 = 548.78/x
  3. Step 3: Cross multiply
    1,165.41x = 1,748.10 × 548.78
  4. Step 4: Simplify right side
    1,165.41x = 959,320.55
  5. Step 5: Solve for x
    x = 959,320.55/1,165.41
  6. Step 6: Final answer
    x = 823.16

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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.