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Finding the Fourth Proportional to 1,196.91, 1,794.68 and 611.24

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Solution

The fourth proportional to 1,196.91, 1,794.68 and 611.24 is: 916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.91 : 1,794.68 = 611.24 : x
  2. Step 2: Convert to fraction form
    1,196.91/1,794.68 = 611.24/x
  3. Step 3: Cross multiply
    1,196.91x = 1,794.68 × 611.24
  4. Step 4: Simplify right side
    1,196.91x = 1,096,968.17
  5. Step 5: Solve for x
    x = 1,096,968.17/1,196.91
  6. Step 6: Final answer
    x = 916.50

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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.