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Finding the Fourth Proportional to 1,207.88, 1,811.07 and 557.78

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Solution

The fourth proportional to 1,207.88, 1,811.07 and 557.78 is: 836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.88 : 1,811.07 = 557.78 : x
  2. Step 2: Convert to fraction form
    1,207.88/1,811.07 = 557.78/x
  3. Step 3: Cross multiply
    1,207.88x = 1,811.07 × 557.78
  4. Step 4: Simplify right side
    1,207.88x = 1,010,178.62
  5. Step 5: Solve for x
    x = 1,010,178.62/1,207.88
  6. Step 6: Final answer
    x = 836.32

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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.