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Finding the Fourth Proportional to 1,107.58, 1,661.43 and 414.43

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Solution

The fourth proportional to 1,107.58, 1,661.43 and 414.43 is: 621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.58 : 1,661.43 = 414.43 : x
  2. Step 2: Convert to fraction form
    1,107.58/1,661.43 = 414.43/x
  3. Step 3: Cross multiply
    1,107.58x = 1,661.43 × 414.43
  4. Step 4: Simplify right side
    1,107.58x = 688,536.06
  5. Step 5: Solve for x
    x = 688,536.06/1,107.58
  6. Step 6: Final answer
    x = 621.66

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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.