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Finding the Fourth Proportional to 1,348.36, 2,022.54 and 483.28

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Solution

The fourth proportional to 1,348.36, 2,022.54 and 483.28 is: 724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.36 : 2,022.54 = 483.28 : x
  2. Step 2: Convert to fraction form
    1,348.36/2,022.54 = 483.28/x
  3. Step 3: Cross multiply
    1,348.36x = 2,022.54 × 483.28
  4. Step 4: Simplify right side
    1,348.36x = 977,453.13
  5. Step 5: Solve for x
    x = 977,453.13/1,348.36
  6. Step 6: Final answer
    x = 724.92

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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.