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Finding the Fourth Proportional to 1,196.35, 1,794.74 and 465.89

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Solution

The fourth proportional to 1,196.35, 1,794.74 and 465.89 is: 698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.35 : 1,794.74 = 465.89 : x
  2. Step 2: Convert to fraction form
    1,196.35/1,794.74 = 465.89/x
  3. Step 3: Cross multiply
    1,196.35x = 1,794.74 × 465.89
  4. Step 4: Simplify right side
    1,196.35x = 836,140.12
  5. Step 5: Solve for x
    x = 836,140.12/1,196.35
  6. Step 6: Final answer
    x = 698.91

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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.