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Finding the Fourth Proportional to 1,553.95, 2,328.74 and 773.21

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Solution

The fourth proportional to 1,553.95, 2,328.74 and 773.21 is: 1,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.95 : 2,328.74 = 773.21 : x
  2. Step 2: Convert to fraction form
    1,553.95/2,328.74 = 773.21/x
  3. Step 3: Cross multiply
    1,553.95x = 2,328.74 × 773.21
  4. Step 4: Simplify right side
    1,553.95x = 1,800,607.01
  5. Step 5: Solve for x
    x = 1,800,607.01/1,553.95
  6. Step 6: Final answer
    x = 1,158.73

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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.