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Finding the Fourth Proportional to 1,306.48, 1,802.97 and 717.04

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Solution

The fourth proportional to 1,306.48, 1,802.97 and 717.04 is: 989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.48 : 1,802.97 = 717.04 : x
  2. Step 2: Convert to fraction form
    1,306.48/1,802.97 = 717.04/x
  3. Step 3: Cross multiply
    1,306.48x = 1,802.97 × 717.04
  4. Step 4: Simplify right side
    1,306.48x = 1,292,801.61
  5. Step 5: Solve for x
    x = 1,292,801.61/1,306.48
  6. Step 6: Final answer
    x = 989.53

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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.