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Finding the Fourth Proportional to 953.48, 1,431.24 and 844.46

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Solution

The fourth proportional to 953.48, 1,431.24 and 844.46 is: 1,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.48 : 1,431.24 = 844.46 : x
  2. Step 2: Convert to fraction form
    953.48/1,431.24 = 844.46/x
  3. Step 3: Cross multiply
    953.48x = 1,431.24 × 844.46
  4. Step 4: Simplify right side
    953.48x = 1,208,624.93
  5. Step 5: Solve for x
    x = 1,208,624.93/953.48
  6. Step 6: Final answer
    x = 1,267.59

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