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Finding the Fourth Proportional to 1,137.31, 1,704.38 and 636.53

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Solution

The fourth proportional to 1,137.31, 1,704.38 and 636.53 is: 953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.31 : 1,704.38 = 636.53 : x
  2. Step 2: Convert to fraction form
    1,137.31/1,704.38 = 636.53/x
  3. Step 3: Cross multiply
    1,137.31x = 1,704.38 × 636.53
  4. Step 4: Simplify right side
    1,137.31x = 1,084,888.46
  5. Step 5: Solve for x
    x = 1,084,888.46/1,137.31
  6. Step 6: Final answer
    x = 953.91

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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.