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Finding the Fourth Proportional to 953.13, 1,427.82 and 746.73

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Solution

The fourth proportional to 953.13, 1,427.82 and 746.73 is: 1,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.13 : 1,427.82 = 746.73 : x
  2. Step 2: Convert to fraction form
    953.13/1,427.82 = 746.73/x
  3. Step 3: Cross multiply
    953.13x = 1,427.82 × 746.73
  4. Step 4: Simplify right side
    953.13x = 1,066,196.03
  5. Step 5: Solve for x
    x = 1,066,196.03/953.13
  6. Step 6: Final answer
    x = 1,118.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.