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Finding the Fourth Proportional to 1,349.06, 2,023.60 and 424.60

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Solution

The fourth proportional to 1,349.06, 2,023.60 and 424.60 is: 636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.06 : 2,023.60 = 424.60 : x
  2. Step 2: Convert to fraction form
    1,349.06/2,023.60 = 424.60/x
  3. Step 3: Cross multiply
    1,349.06x = 2,023.60 × 424.60
  4. Step 4: Simplify right side
    1,349.06x = 859,214.44
  5. Step 5: Solve for x
    x = 859,214.44/1,349.06
  6. Step 6: Final answer
    x = 636.90

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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.