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Finding the Fourth Proportional to 1,224.60, 1,835.52 and 494.10

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Solution

The fourth proportional to 1,224.60, 1,835.52 and 494.10 is: 740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.60 : 1,835.52 = 494.10 : x
  2. Step 2: Convert to fraction form
    1,224.60/1,835.52 = 494.10/x
  3. Step 3: Cross multiply
    1,224.60x = 1,835.52 × 494.10
  4. Step 4: Simplify right side
    1,224.60x = 906,930.43
  5. Step 5: Solve for x
    x = 906,930.43/1,224.60
  6. Step 6: Final answer
    x = 740.59

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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.