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Finding the Fourth Proportional to 1,108.61, 1,529.99 and 828.36

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Solution

The fourth proportional to 1,108.61, 1,529.99 and 828.36 is: 1,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.61 : 1,529.99 = 828.36 : x
  2. Step 2: Convert to fraction form
    1,108.61/1,529.99 = 828.36/x
  3. Step 3: Cross multiply
    1,108.61x = 1,529.99 × 828.36
  4. Step 4: Simplify right side
    1,108.61x = 1,267,378.69
  5. Step 5: Solve for x
    x = 1,267,378.69/1,108.61
  6. Step 6: Final answer
    x = 1,143.21

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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.