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Finding the Fourth Proportional to 1,297.06, 1,789.66 and 849.58

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Solution

The fourth proportional to 1,297.06, 1,789.66 and 849.58 is: 1,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.06 : 1,789.66 = 849.58 : x
  2. Step 2: Convert to fraction form
    1,297.06/1,789.66 = 849.58/x
  3. Step 3: Cross multiply
    1,297.06x = 1,789.66 × 849.58
  4. Step 4: Simplify right side
    1,297.06x = 1,520,459.34
  5. Step 5: Solve for x
    x = 1,520,459.34/1,297.06
  6. Step 6: Final answer
    x = 1,172.24

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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.