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Finding the Fourth Proportional to 1,306.29, 1,802.67 and 716.83

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Solution

The fourth proportional to 1,306.29, 1,802.67 and 716.83 is: 989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.29 : 1,802.67 = 716.83 : x
  2. Step 2: Convert to fraction form
    1,306.29/1,802.67 = 716.83/x
  3. Step 3: Cross multiply
    1,306.29x = 1,802.67 × 716.83
  4. Step 4: Simplify right side
    1,306.29x = 1,292,211.76
  5. Step 5: Solve for x
    x = 1,292,211.76/1,306.29
  6. Step 6: Final answer
    x = 989.23

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