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Finding the Fourth Proportional to 1,080.91, 1,621.52 and 350.71

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Solution

The fourth proportional to 1,080.91, 1,621.52 and 350.71 is: 526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.91 : 1,621.52 = 350.71 : x
  2. Step 2: Convert to fraction form
    1,080.91/1,621.52 = 350.71/x
  3. Step 3: Cross multiply
    1,080.91x = 1,621.52 × 350.71
  4. Step 4: Simplify right side
    1,080.91x = 568,683.28
  5. Step 5: Solve for x
    x = 568,683.28/1,080.91
  6. Step 6: Final answer
    x = 526.12

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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.