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Finding the Fourth Proportional to 1,352.16, 1,866 and 828

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Solution

The fourth proportional to 1,352.16, 1,866 and 828 is: 1,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.16 : 1,866 = 828 : x
  2. Step 2: Convert to fraction form
    1,352.16/1,866 = 828/x
  3. Step 3: Cross multiply
    1,352.16x = 1,866 × 828
  4. Step 4: Simplify right side
    1,352.16x = 1,545,048
  5. Step 5: Solve for x
    x = 1,545,048/1,352.16
  6. Step 6: Final answer
    x = 1,142.65

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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.