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Finding the Fourth Proportional to 1,229.53, 1,844.58 and 407.74

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Solution

The fourth proportional to 1,229.53, 1,844.58 and 407.74 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.53 : 1,844.58 = 407.74 : x
  2. Step 2: Convert to fraction form
    1,229.53/1,844.58 = 407.74/x
  3. Step 3: Cross multiply
    1,229.53x = 1,844.58 × 407.74
  4. Step 4: Simplify right side
    1,229.53x = 752,109.05
  5. Step 5: Solve for x
    x = 752,109.05/1,229.53
  6. Step 6: Final answer
    x = 611.70

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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.