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Finding the Fourth Proportional to 1,196.58, 1,794.13 and 465.30

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Solution

The fourth proportional to 1,196.58, 1,794.13 and 465.30 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.58 : 1,794.13 = 465.30 : x
  2. Step 2: Convert to fraction form
    1,196.58/1,794.13 = 465.30/x
  3. Step 3: Cross multiply
    1,196.58x = 1,794.13 × 465.30
  4. Step 4: Simplify right side
    1,196.58x = 834,805.28
  5. Step 5: Solve for x
    x = 834,805.28/1,196.58
  6. Step 6: Final answer
    x = 697.66

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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.