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Finding the Fourth Proportional to 1,107.76, 1,661.10 and 414.22

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Solution

The fourth proportional to 1,107.76, 1,661.10 and 414.22 is: 621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.76 : 1,661.10 = 414.22 : x
  2. Step 2: Convert to fraction form
    1,107.76/1,661.10 = 414.22/x
  3. Step 3: Cross multiply
    1,107.76x = 1,661.10 × 414.22
  4. Step 4: Simplify right side
    1,107.76x = 688,060.84
  5. Step 5: Solve for x
    x = 688,060.84/1,107.76
  6. Step 6: Final answer
    x = 621.13

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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.