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Finding the Fourth Proportional to 1,306.05, 1,802.16 and 746.43

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Solution

The fourth proportional to 1,306.05, 1,802.16 and 746.43 is: 1,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.05 : 1,802.16 = 746.43 : x
  2. Step 2: Convert to fraction form
    1,306.05/1,802.16 = 746.43/x
  3. Step 3: Cross multiply
    1,306.05x = 1,802.16 × 746.43
  4. Step 4: Simplify right side
    1,306.05x = 1,345,186.29
  5. Step 5: Solve for x
    x = 1,345,186.29/1,306.05
  6. Step 6: Final answer
    x = 1,029.97

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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.