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Finding the Fourth Proportional to 1,469.52, 2,028.24 and 840.02

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Solution

The fourth proportional to 1,469.52, 2,028.24 and 840.02 is: 1,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.52 : 2,028.24 = 840.02 : x
  2. Step 2: Convert to fraction form
    1,469.52/2,028.24 = 840.02/x
  3. Step 3: Cross multiply
    1,469.52x = 2,028.24 × 840.02
  4. Step 4: Simplify right side
    1,469.52x = 1,703,752.02
  5. Step 5: Solve for x
    x = 1,703,752.02/1,469.52
  6. Step 6: Final answer
    x = 1,159.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.