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Finding the Fourth Proportional to 1,228.47, 1,843.03 and 535.28

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Solution

The fourth proportional to 1,228.47, 1,843.03 and 535.28 is: 803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.47 : 1,843.03 = 535.28 : x
  2. Step 2: Convert to fraction form
    1,228.47/1,843.03 = 535.28/x
  3. Step 3: Cross multiply
    1,228.47x = 1,843.03 × 535.28
  4. Step 4: Simplify right side
    1,228.47x = 986,542.60
  5. Step 5: Solve for x
    x = 986,542.60/1,228.47
  6. Step 6: Final answer
    x = 803.07

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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.