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Finding the Fourth Proportional to 1,107.36, 1,660.57 and 376.99

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Solution

The fourth proportional to 1,107.36, 1,660.57 and 376.99 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.36 : 1,660.57 = 376.99 : x
  2. Step 2: Convert to fraction form
    1,107.36/1,660.57 = 376.99/x
  3. Step 3: Cross multiply
    1,107.36x = 1,660.57 × 376.99
  4. Step 4: Simplify right side
    1,107.36x = 626,018.28
  5. Step 5: Solve for x
    x = 626,018.28/1,107.36
  6. Step 6: Final answer
    x = 565.32

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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.