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Finding the Fourth Proportional to 1,107.46, 1,661.57 and 559.19

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Solution

The fourth proportional to 1,107.46, 1,661.57 and 559.19 is: 838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.46 : 1,661.57 = 559.19 : x
  2. Step 2: Convert to fraction form
    1,107.46/1,661.57 = 559.19/x
  3. Step 3: Cross multiply
    1,107.46x = 1,661.57 × 559.19
  4. Step 4: Simplify right side
    1,107.46x = 929,133.33
  5. Step 5: Solve for x
    x = 929,133.33/1,107.46
  6. Step 6: Final answer
    x = 838.98

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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.