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Finding the Fourth Proportional to 1,195.54, 1,784 and 1,072.96

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Solution

The fourth proportional to 1,195.54, 1,784 and 1,072.96 is: 1,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.54 : 1,784 = 1,072.96 : x
  2. Step 2: Convert to fraction form
    1,195.54/1,784 = 1,072.96/x
  3. Step 3: Cross multiply
    1,195.54x = 1,784 × 1,072.96
  4. Step 4: Simplify right side
    1,195.54x = 1,914,160.64
  5. Step 5: Solve for x
    x = 1,914,160.64/1,195.54
  6. Step 6: Final answer
    x = 1,601.08

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.