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Finding the Fourth Proportional to 1,483.08, 2,223.86 and 495.54

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Solution

The fourth proportional to 1,483.08, 2,223.86 and 495.54 is: 743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.08 : 2,223.86 = 495.54 : x
  2. Step 2: Convert to fraction form
    1,483.08/2,223.86 = 495.54/x
  3. Step 3: Cross multiply
    1,483.08x = 2,223.86 × 495.54
  4. Step 4: Simplify right side
    1,483.08x = 1,102,000.47
  5. Step 5: Solve for x
    x = 1,102,000.47/1,483.08
  6. Step 6: Final answer
    x = 743.05

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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.