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Finding the Fourth Proportional to 1,107.44, 1,661.16 and 414.10

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Solution

The fourth proportional to 1,107.44, 1,661.16 and 414.10 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.44 : 1,661.16 = 414.10 : x
  2. Step 2: Convert to fraction form
    1,107.44/1,661.16 = 414.10/x
  3. Step 3: Cross multiply
    1,107.44x = 1,661.16 × 414.10
  4. Step 4: Simplify right side
    1,107.44x = 687,878.05
  5. Step 5: Solve for x
    x = 687,878.05/1,107.44
  6. Step 6: Final answer
    x = 621.14

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Double scale
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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.