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Finding the Fourth Proportional to 1,083.14, 1,622.37 and 619.61

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Solution

The fourth proportional to 1,083.14, 1,622.37 and 619.61 is: 928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.14 : 1,622.37 = 619.61 : x
  2. Step 2: Convert to fraction form
    1,083.14/1,622.37 = 619.61/x
  3. Step 3: Cross multiply
    1,083.14x = 1,622.37 × 619.61
  4. Step 4: Simplify right side
    1,083.14x = 1,005,236.68
  5. Step 5: Solve for x
    x = 1,005,236.68/1,083.14
  6. Step 6: Final answer
    x = 928.08

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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.