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Finding the Fourth Proportional to 1,306.50, 1,802.97 and 717.05

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Solution

The fourth proportional to 1,306.50, 1,802.97 and 717.05 is: 989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.50 : 1,802.97 = 717.05 : x
  2. Step 2: Convert to fraction form
    1,306.50/1,802.97 = 717.05/x
  3. Step 3: Cross multiply
    1,306.50x = 1,802.97 × 717.05
  4. Step 4: Simplify right side
    1,306.50x = 1,292,810.62
  5. Step 5: Solve for x
    x = 1,292,810.62/1,306.50
  6. Step 6: Final answer
    x = 989.52

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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.