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Finding the Fourth Proportional to 1,230.90, 1,845.14 and 582.09

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Solution

The fourth proportional to 1,230.90, 1,845.14 and 582.09 is: 872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.90 : 1,845.14 = 582.09 : x
  2. Step 2: Convert to fraction form
    1,230.90/1,845.14 = 582.09/x
  3. Step 3: Cross multiply
    1,230.90x = 1,845.14 × 582.09
  4. Step 4: Simplify right side
    1,230.90x = 1,074,034.63
  5. Step 5: Solve for x
    x = 1,074,034.63/1,230.90
  6. Step 6: Final answer
    x = 872.56

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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.