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Finding the Fourth Proportional to 1,177.82, 1,767.06 and 356.12

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Solution

The fourth proportional to 1,177.82, 1,767.06 and 356.12 is: 534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.82 : 1,767.06 = 356.12 : x
  2. Step 2: Convert to fraction form
    1,177.82/1,767.06 = 356.12/x
  3. Step 3: Cross multiply
    1,177.82x = 1,767.06 × 356.12
  4. Step 4: Simplify right side
    1,177.82x = 629,285.41
  5. Step 5: Solve for x
    x = 629,285.41/1,177.82
  6. Step 6: Final answer
    x = 534.28

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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.