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Finding the Fourth Proportional to 1,552.56, 2,328.82 and 628.11

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Solution

The fourth proportional to 1,552.56, 2,328.82 and 628.11 is: 942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.56 : 2,328.82 = 628.11 : x
  2. Step 2: Convert to fraction form
    1,552.56/2,328.82 = 628.11/x
  3. Step 3: Cross multiply
    1,552.56x = 2,328.82 × 628.11
  4. Step 4: Simplify right side
    1,552.56x = 1,462,755.13
  5. Step 5: Solve for x
    x = 1,462,755.13/1,552.56
  6. Step 6: Final answer
    x = 942.16

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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.