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Finding the Fourth Proportional to 1,159.06, 1,599.50 and 828.06

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Solution

The fourth proportional to 1,159.06, 1,599.50 and 828.06 is: 1,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.06 : 1,599.50 = 828.06 : x
  2. Step 2: Convert to fraction form
    1,159.06/1,599.50 = 828.06/x
  3. Step 3: Cross multiply
    1,159.06x = 1,599.50 × 828.06
  4. Step 4: Simplify right side
    1,159.06x = 1,324,481.97
  5. Step 5: Solve for x
    x = 1,324,481.97/1,159.06
  6. Step 6: Final answer
    x = 1,142.72

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Why These Related Problems?

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