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Finding the Fourth Proportional to 1,366.31, 1,885.51 and 745.31

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Solution

The fourth proportional to 1,366.31, 1,885.51 and 745.31 is: 1,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.31 : 1,885.51 = 745.31 : x
  2. Step 2: Convert to fraction form
    1,366.31/1,885.51 = 745.31/x
  3. Step 3: Cross multiply
    1,366.31x = 1,885.51 × 745.31
  4. Step 4: Simplify right side
    1,366.31x = 1,405,295.10
  5. Step 5: Solve for x
    x = 1,405,295.10/1,366.31
  6. Step 6: Final answer
    x = 1,028.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.