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Finding the Fourth Proportional to 1,196.37, 1,794.53 and 466.45

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Solution

The fourth proportional to 1,196.37, 1,794.53 and 466.45 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.37 : 1,794.53 = 466.45 : x
  2. Step 2: Convert to fraction form
    1,196.37/1,794.53 = 466.45/x
  3. Step 3: Cross multiply
    1,196.37x = 1,794.53 × 466.45
  4. Step 4: Simplify right side
    1,196.37x = 837,055.20
  5. Step 5: Solve for x
    x = 837,055.20/1,196.37
  6. Step 6: Final answer
    x = 699.66

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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.