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Finding the Fourth Proportional to 1,177.44, 1,767.12 and 600.48

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Solution

The fourth proportional to 1,177.44, 1,767.12 and 600.48 is: 901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.44 : 1,767.12 = 600.48 : x
  2. Step 2: Convert to fraction form
    1,177.44/1,767.12 = 600.48/x
  3. Step 3: Cross multiply
    1,177.44x = 1,767.12 × 600.48
  4. Step 4: Simplify right side
    1,177.44x = 1,061,120.22
  5. Step 5: Solve for x
    x = 1,061,120.22/1,177.44
  6. Step 6: Final answer
    x = 901.21

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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.