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Finding the Fourth Proportional to 940.10, 1,297.70 and 841.69

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Solution

The fourth proportional to 940.10, 1,297.70 and 841.69 is: 1,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.10 : 1,297.70 = 841.69 : x
  2. Step 2: Convert to fraction form
    940.10/1,297.70 = 841.69/x
  3. Step 3: Cross multiply
    940.10x = 1,297.70 × 841.69
  4. Step 4: Simplify right side
    940.10x = 1,092,261.11
  5. Step 5: Solve for x
    x = 1,092,261.11/940.10
  6. Step 6: Final answer
    x = 1,161.86

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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.