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Finding the Fourth Proportional to 1,399.24, 2,098.80 and 359.24

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Solution

The fourth proportional to 1,399.24, 2,098.80 and 359.24 is: 538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.24 : 2,098.80 = 359.24 : x
  2. Step 2: Convert to fraction form
    1,399.24/2,098.80 = 359.24/x
  3. Step 3: Cross multiply
    1,399.24x = 2,098.80 × 359.24
  4. Step 4: Simplify right side
    1,399.24x = 753,978.16
  5. Step 5: Solve for x
    x = 753,978.16/1,399.24
  6. Step 6: Final answer
    x = 538.85

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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.