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Finding the Fourth Proportional to 1,160.42, 1,739.18 and 829.64

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Solution

The fourth proportional to 1,160.42, 1,739.18 and 829.64 is: 1,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.42 : 1,739.18 = 829.64 : x
  2. Step 2: Convert to fraction form
    1,160.42/1,739.18 = 829.64/x
  3. Step 3: Cross multiply
    1,160.42x = 1,739.18 × 829.64
  4. Step 4: Simplify right side
    1,160.42x = 1,442,889.15
  5. Step 5: Solve for x
    x = 1,442,889.15/1,160.42
  6. Step 6: Final answer
    x = 1,243.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.