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Finding the Fourth Proportional to 1,219.16, 1,830.36 and 642.44

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Solution

The fourth proportional to 1,219.16, 1,830.36 and 642.44 is: 964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.16 : 1,830.36 = 642.44 : x
  2. Step 2: Convert to fraction form
    1,219.16/1,830.36 = 642.44/x
  3. Step 3: Cross multiply
    1,219.16x = 1,830.36 × 642.44
  4. Step 4: Simplify right side
    1,219.16x = 1,175,896.48
  5. Step 5: Solve for x
    x = 1,175,896.48/1,219.16
  6. Step 6: Final answer
    x = 964.51

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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.