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Finding the Fourth Proportional to 1,078.69, 1,621.11 and 531.26

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Solution

The fourth proportional to 1,078.69, 1,621.11 and 531.26 is: 798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.69 : 1,621.11 = 531.26 : x
  2. Step 2: Convert to fraction form
    1,078.69/1,621.11 = 531.26/x
  3. Step 3: Cross multiply
    1,078.69x = 1,621.11 × 531.26
  4. Step 4: Simplify right side
    1,078.69x = 861,222.79
  5. Step 5: Solve for x
    x = 861,222.79/1,078.69
  6. Step 6: Final answer
    x = 798.40

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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.