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Finding the Fourth Proportional to 1,160.30, 1,599.96 and 828.59

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Solution

The fourth proportional to 1,160.30, 1,599.96 and 828.59 is: 1,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.30 : 1,599.96 = 828.59 : x
  2. Step 2: Convert to fraction form
    1,160.30/1,599.96 = 828.59/x
  3. Step 3: Cross multiply
    1,160.30x = 1,599.96 × 828.59
  4. Step 4: Simplify right side
    1,160.30x = 1,325,710.86
  5. Step 5: Solve for x
    x = 1,325,710.86/1,160.30
  6. Step 6: Final answer
    x = 1,142.56

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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.