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Finding the Fourth Proportional to 1,234.93, 1,704.82 and 954.53

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Solution

The fourth proportional to 1,234.93, 1,704.82 and 954.53 is: 1,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.93 : 1,704.82 = 954.53 : x
  2. Step 2: Convert to fraction form
    1,234.93/1,704.82 = 954.53/x
  3. Step 3: Cross multiply
    1,234.93x = 1,704.82 × 954.53
  4. Step 4: Simplify right side
    1,234.93x = 1,627,304.99
  5. Step 5: Solve for x
    x = 1,627,304.99/1,234.93
  6. Step 6: Final answer
    x = 1,317.73

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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.