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Finding the Fourth Proportional to 1,279.89, 1,766.42 and 720.47

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Solution

The fourth proportional to 1,279.89, 1,766.42 and 720.47 is: 994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.89 : 1,766.42 = 720.47 : x
  2. Step 2: Convert to fraction form
    1,279.89/1,766.42 = 720.47/x
  3. Step 3: Cross multiply
    1,279.89x = 1,766.42 × 720.47
  4. Step 4: Simplify right side
    1,279.89x = 1,272,649.51
  5. Step 5: Solve for x
    x = 1,272,649.51/1,279.89
  6. Step 6: Final answer
    x = 994.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.