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Finding the Fourth Proportional to 1,766.49, 2,649.44 and 468.09

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Solution

The fourth proportional to 1,766.49, 2,649.44 and 468.09 is: 702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.49 : 2,649.44 = 468.09 : x
  2. Step 2: Convert to fraction form
    1,766.49/2,649.44 = 468.09/x
  3. Step 3: Cross multiply
    1,766.49x = 2,649.44 × 468.09
  4. Step 4: Simplify right side
    1,766.49x = 1,240,174.03
  5. Step 5: Solve for x
    x = 1,240,174.03/1,766.49
  6. Step 6: Final answer
    x = 702.06

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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.