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Finding the Fourth Proportional to 1,081.46, 1,622.42 and 351.10

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Solution

The fourth proportional to 1,081.46, 1,622.42 and 351.10 is: 526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.46 : 1,622.42 = 351.10 : x
  2. Step 2: Convert to fraction form
    1,081.46/1,622.42 = 351.10/x
  3. Step 3: Cross multiply
    1,081.46x = 1,622.42 × 351.10
  4. Step 4: Simplify right side
    1,081.46x = 569,631.66
  5. Step 5: Solve for x
    x = 569,631.66/1,081.46
  6. Step 6: Final answer
    x = 526.72

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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.