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Finding the Fourth Proportional to 1,107.46, 1,528.20 and 610.06

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Solution

The fourth proportional to 1,107.46, 1,528.20 and 610.06 is: 841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.46 : 1,528.20 = 610.06 : x
  2. Step 2: Convert to fraction form
    1,107.46/1,528.20 = 610.06/x
  3. Step 3: Cross multiply
    1,107.46x = 1,528.20 × 610.06
  4. Step 4: Simplify right side
    1,107.46x = 932,293.69
  5. Step 5: Solve for x
    x = 932,293.69/1,107.46
  6. Step 6: Final answer
    x = 841.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.