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Finding the Fourth Proportional to 1,196.45, 1,794.01 and 465.42

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Solution

The fourth proportional to 1,196.45, 1,794.01 and 465.42 is: 697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.45 : 1,794.01 = 465.42 : x
  2. Step 2: Convert to fraction form
    1,196.45/1,794.01 = 465.42/x
  3. Step 3: Cross multiply
    1,196.45x = 1,794.01 × 465.42
  4. Step 4: Simplify right side
    1,196.45x = 834,968.13
  5. Step 5: Solve for x
    x = 834,968.13/1,196.45
  6. Step 6: Final answer
    x = 697.87

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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.