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Finding the Fourth Proportional to 1,208.31, 1,811.07 and 557.69

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Solution

The fourth proportional to 1,208.31, 1,811.07 and 557.69 is: 835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.31 : 1,811.07 = 557.69 : x
  2. Step 2: Convert to fraction form
    1,208.31/1,811.07 = 557.69/x
  3. Step 3: Cross multiply
    1,208.31x = 1,811.07 × 557.69
  4. Step 4: Simplify right side
    1,208.31x = 1,010,012.84
  5. Step 5: Solve for x
    x = 1,010,012.84/1,208.31
  6. Step 6: Final answer
    x = 835.89

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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.