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Finding the Fourth Proportional to 1,196.73, 1,794.62 and 580.26

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Solution

The fourth proportional to 1,196.73, 1,794.62 and 580.26 is: 870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.73 : 1,794.62 = 580.26 : x
  2. Step 2: Convert to fraction form
    1,196.73/1,794.62 = 580.26/x
  3. Step 3: Cross multiply
    1,196.73x = 1,794.62 × 580.26
  4. Step 4: Simplify right side
    1,196.73x = 1,041,343.30
  5. Step 5: Solve for x
    x = 1,041,343.30/1,196.73
  6. Step 6: Final answer
    x = 870.16

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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.