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Finding the Fourth Proportional to 1,650.45, 2,474.95 and 495.93

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Solution

The fourth proportional to 1,650.45, 2,474.95 and 495.93 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.45 : 2,474.95 = 495.93 : x
  2. Step 2: Convert to fraction form
    1,650.45/2,474.95 = 495.93/x
  3. Step 3: Cross multiply
    1,650.45x = 2,474.95 × 495.93
  4. Step 4: Simplify right side
    1,650.45x = 1,227,401.95
  5. Step 5: Solve for x
    x = 1,227,401.95/1,650.45
  6. Step 6: Final answer
    x = 743.68

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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.