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Finding the Fourth Proportional to 758.73, 1,137.71 and 368.75

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Solution

The fourth proportional to 758.73, 1,137.71 and 368.75 is: 552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.73 : 1,137.71 = 368.75 : x
  2. Step 2: Convert to fraction form
    758.73/1,137.71 = 368.75/x
  3. Step 3: Cross multiply
    758.73x = 1,137.71 × 368.75
  4. Step 4: Simplify right side
    758.73x = 419,534.33
  5. Step 5: Solve for x
    x = 419,534.33/758.73
  6. Step 6: Final answer
    x = 552.94

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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.