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Finding the Fourth Proportional to 1,081.37, 1,494.57 and 953.39

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Solution

The fourth proportional to 1,081.37, 1,494.57 and 953.39 is: 1,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.37 : 1,494.57 = 953.39 : x
  2. Step 2: Convert to fraction form
    1,081.37/1,494.57 = 953.39/x
  3. Step 3: Cross multiply
    1,081.37x = 1,494.57 × 953.39
  4. Step 4: Simplify right side
    1,081.37x = 1,424,900.62
  5. Step 5: Solve for x
    x = 1,424,900.62/1,081.37
  6. Step 6: Final answer
    x = 1,317.69

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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.