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Finding the Fourth Proportional to 953.37, 1,314.59 and 820.44

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Solution

The fourth proportional to 953.37, 1,314.59 and 820.44 is: 1,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.37 : 1,314.59 = 820.44 : x
  2. Step 2: Convert to fraction form
    953.37/1,314.59 = 820.44/x
  3. Step 3: Cross multiply
    953.37x = 1,314.59 × 820.44
  4. Step 4: Simplify right side
    953.37x = 1,078,538.12
  5. Step 5: Solve for x
    x = 1,078,538.12/953.37
  6. Step 6: Final answer
    x = 1,131.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.