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Finding the Fourth Proportional to 1,181.14, 1,629.93 and 832.30

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Solution

The fourth proportional to 1,181.14, 1,629.93 and 832.30 is: 1,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.14 : 1,629.93 = 832.30 : x
  2. Step 2: Convert to fraction form
    1,181.14/1,629.93 = 832.30/x
  3. Step 3: Cross multiply
    1,181.14x = 1,629.93 × 832.30
  4. Step 4: Simplify right side
    1,181.14x = 1,356,590.74
  5. Step 5: Solve for x
    x = 1,356,590.74/1,181.14
  6. Step 6: Final answer
    x = 1,148.54

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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.