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Finding the Fourth Proportional to 1,553.06, 2,330.10 and 628.11

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Solution

The fourth proportional to 1,553.06, 2,330.10 and 628.11 is: 942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.06 : 2,330.10 = 628.11 : x
  2. Step 2: Convert to fraction form
    1,553.06/2,330.10 = 628.11/x
  3. Step 3: Cross multiply
    1,553.06x = 2,330.10 × 628.11
  4. Step 4: Simplify right side
    1,553.06x = 1,463,559.11
  5. Step 5: Solve for x
    x = 1,463,559.11/1,553.06
  6. Step 6: Final answer
    x = 942.37

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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.