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Finding the Fourth Proportional to 1,177.83, 1,767.15 and 356.13

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Solution

The fourth proportional to 1,177.83, 1,767.15 and 356.13 is: 534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.83 : 1,767.15 = 356.13 : x
  2. Step 2: Convert to fraction form
    1,177.83/1,767.15 = 356.13/x
  3. Step 3: Cross multiply
    1,177.83x = 1,767.15 × 356.13
  4. Step 4: Simplify right side
    1,177.83x = 629,335.13
  5. Step 5: Solve for x
    x = 629,335.13/1,177.83
  6. Step 6: Final answer
    x = 534.32

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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.