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Finding the Fourth Proportional to 1,080.69, 1,621.04 and 698.37

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Solution

The fourth proportional to 1,080.69, 1,621.04 and 698.37 is: 1,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.69 : 1,621.04 = 698.37 : x
  2. Step 2: Convert to fraction form
    1,080.69/1,621.04 = 698.37/x
  3. Step 3: Cross multiply
    1,080.69x = 1,621.04 × 698.37
  4. Step 4: Simplify right side
    1,080.69x = 1,132,085.70
  5. Step 5: Solve for x
    x = 1,132,085.70/1,080.69
  6. Step 6: Final answer
    x = 1,047.56

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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.