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Finding the Fourth Proportional to 1,597.05, 2,392.74 and 773.28

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Solution

The fourth proportional to 1,597.05, 2,392.74 and 773.28 is: 1,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.05 : 2,392.74 = 773.28 : x
  2. Step 2: Convert to fraction form
    1,597.05/2,392.74 = 773.28/x
  3. Step 3: Cross multiply
    1,597.05x = 2,392.74 × 773.28
  4. Step 4: Simplify right side
    1,597.05x = 1,850,257.99
  5. Step 5: Solve for x
    x = 1,850,257.99/1,597.05
  6. Step 6: Final answer
    x = 1,158.55

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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.