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Finding the Fourth Proportional to 1,306.22, 1,802.63 and 716.80

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Solution

The fourth proportional to 1,306.22, 1,802.63 and 716.80 is: 989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.22 : 1,802.63 = 716.80 : x
  2. Step 2: Convert to fraction form
    1,306.22/1,802.63 = 716.80/x
  3. Step 3: Cross multiply
    1,306.22x = 1,802.63 × 716.80
  4. Step 4: Simplify right side
    1,306.22x = 1,292,112.59
  5. Step 5: Solve for x
    x = 1,292,112.59/1,306.22
  6. Step 6: Final answer
    x = 989.20

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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.