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Finding the Fourth Proportional to 1,483.62, 2,224.68 and 496.08

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Solution

The fourth proportional to 1,483.62, 2,224.68 and 496.08 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.62 : 2,224.68 = 496.08 : x
  2. Step 2: Convert to fraction form
    1,483.62/2,224.68 = 496.08/x
  3. Step 3: Cross multiply
    1,483.62x = 2,224.68 × 496.08
  4. Step 4: Simplify right side
    1,483.62x = 1,103,619.25
  5. Step 5: Solve for x
    x = 1,103,619.25/1,483.62
  6. Step 6: Final answer
    x = 743.87

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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.