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Finding the Fourth Proportional to 1,219.86, 1,829.82 and 398.16

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Solution

The fourth proportional to 1,219.86, 1,829.82 and 398.16 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.86 : 1,829.82 = 398.16 : x
  2. Step 2: Convert to fraction form
    1,219.86/1,829.82 = 398.16/x
  3. Step 3: Cross multiply
    1,219.86x = 1,829.82 × 398.16
  4. Step 4: Simplify right side
    1,219.86x = 728,561.13
  5. Step 5: Solve for x
    x = 728,561.13/1,219.86
  6. Step 6: Final answer
    x = 597.25

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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.