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Finding the Fourth Proportional to 1,107.94, 1,662.14 and 414.60

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Solution

The fourth proportional to 1,107.94, 1,662.14 and 414.60 is: 621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.94 : 1,662.14 = 414.60 : x
  2. Step 2: Convert to fraction form
    1,107.94/1,662.14 = 414.60/x
  3. Step 3: Cross multiply
    1,107.94x = 1,662.14 × 414.60
  4. Step 4: Simplify right side
    1,107.94x = 689,123.24
  5. Step 5: Solve for x
    x = 689,123.24/1,107.94
  6. Step 6: Final answer
    x = 621.99

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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.