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Finding the Fourth Proportional to 1,220.15, 1,830.42 and 398.24

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Solution

The fourth proportional to 1,220.15, 1,830.42 and 398.24 is: 597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.15 : 1,830.42 = 398.24 : x
  2. Step 2: Convert to fraction form
    1,220.15/1,830.42 = 398.24/x
  3. Step 3: Cross multiply
    1,220.15x = 1,830.42 × 398.24
  4. Step 4: Simplify right side
    1,220.15x = 728,937.31
  5. Step 5: Solve for x
    x = 728,937.31/1,220.15
  6. Step 6: Final answer
    x = 597.41

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1.5x scale

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.