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Finding the Fourth Proportional to 1,196.53, 1,794.77 and 580.29

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Solution

The fourth proportional to 1,196.53, 1,794.77 and 580.29 is: 870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.53 : 1,794.77 = 580.29 : x
  2. Step 2: Convert to fraction form
    1,196.53/1,794.77 = 580.29/x
  3. Step 3: Cross multiply
    1,196.53x = 1,794.77 × 580.29
  4. Step 4: Simplify right side
    1,196.53x = 1,041,487.08
  5. Step 5: Solve for x
    x = 1,041,487.08/1,196.53
  6. Step 6: Final answer
    x = 870.42

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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.