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Finding the Fourth Proportional to 1,076.22, 1,610.08 and 589.61

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Solution

The fourth proportional to 1,076.22, 1,610.08 and 589.61 is: 882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.22 : 1,610.08 = 589.61 : x
  2. Step 2: Convert to fraction form
    1,076.22/1,610.08 = 589.61/x
  3. Step 3: Cross multiply
    1,076.22x = 1,610.08 × 589.61
  4. Step 4: Simplify right side
    1,076.22x = 949,321.82
  5. Step 5: Solve for x
    x = 949,321.82/1,076.22
  6. Step 6: Final answer
    x = 882.09

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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.