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Finding the Fourth Proportional to 1,152.73, 1,729.61 and 604.78

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Solution

The fourth proportional to 1,152.73, 1,729.61 and 604.78 is: 907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.73 : 1,729.61 = 604.78 : x
  2. Step 2: Convert to fraction form
    1,152.73/1,729.61 = 604.78/x
  3. Step 3: Cross multiply
    1,152.73x = 1,729.61 × 604.78
  4. Step 4: Simplify right side
    1,152.73x = 1,046,033.54
  5. Step 5: Solve for x
    x = 1,046,033.54/1,152.73
  6. Step 6: Final answer
    x = 907.44

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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.