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Finding the Fourth Proportional to 1,219.74, 1,829.63 and 398.01

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Solution

The fourth proportional to 1,219.74, 1,829.63 and 398.01 is: 597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.74 : 1,829.63 = 398.01 : x
  2. Step 2: Convert to fraction form
    1,219.74/1,829.63 = 398.01/x
  3. Step 3: Cross multiply
    1,219.74x = 1,829.63 × 398.01
  4. Step 4: Simplify right side
    1,219.74x = 728,211.04
  5. Step 5: Solve for x
    x = 728,211.04/1,219.74
  6. Step 6: Final answer
    x = 597.02

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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.