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Finding the Fourth Proportional to 1,649.81, 2,474.71 and 663.07

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Solution

The fourth proportional to 1,649.81, 2,474.71 and 663.07 is: 994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.81 : 2,474.71 = 663.07 : x
  2. Step 2: Convert to fraction form
    1,649.81/2,474.71 = 663.07/x
  3. Step 3: Cross multiply
    1,649.81x = 2,474.71 × 663.07
  4. Step 4: Simplify right side
    1,649.81x = 1,640,898.12
  5. Step 5: Solve for x
    x = 1,640,898.12/1,649.81
  6. Step 6: Final answer
    x = 994.60

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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.