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Finding the Fourth Proportional to 1,152.38, 1,729.25 and 459.38

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Solution

The fourth proportional to 1,152.38, 1,729.25 and 459.38 is: 689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.38 : 1,729.25 = 459.38 : x
  2. Step 2: Convert to fraction form
    1,152.38/1,729.25 = 459.38/x
  3. Step 3: Cross multiply
    1,152.38x = 1,729.25 × 459.38
  4. Step 4: Simplify right side
    1,152.38x = 794,371.92
  5. Step 5: Solve for x
    x = 794,371.92/1,152.38
  6. Step 6: Final answer
    x = 689.33

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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.