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Finding the Fourth Proportional to 1,219.42, 1,827.32 and 731.90

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Solution

The fourth proportional to 1,219.42, 1,827.32 and 731.90 is: 1,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.42 : 1,827.32 = 731.90 : x
  2. Step 2: Convert to fraction form
    1,219.42/1,827.32 = 731.90/x
  3. Step 3: Cross multiply
    1,219.42x = 1,827.32 × 731.90
  4. Step 4: Simplify right side
    1,219.42x = 1,337,415.51
  5. Step 5: Solve for x
    x = 1,337,415.51/1,219.42
  6. Step 6: Final answer
    x = 1,096.76

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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.