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Finding the Fourth Proportional to 1,649.85, 2,475.15 and 495.57

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Solution

The fourth proportional to 1,649.85, 2,475.15 and 495.57 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.85 : 2,475.15 = 495.57 : x
  2. Step 2: Convert to fraction form
    1,649.85/2,475.15 = 495.57/x
  3. Step 3: Cross multiply
    1,649.85x = 2,475.15 × 495.57
  4. Step 4: Simplify right side
    1,649.85x = 1,226,610.09
  5. Step 5: Solve for x
    x = 1,226,610.09/1,649.85
  6. Step 6: Final answer
    x = 743.47

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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.