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Finding the Fourth Proportional to 1,196.97, 1,795.58 and 319.50

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Solution

The fourth proportional to 1,196.97, 1,795.58 and 319.50 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.97 : 1,795.58 = 319.50 : x
  2. Step 2: Convert to fraction form
    1,196.97/1,795.58 = 319.50/x
  3. Step 3: Cross multiply
    1,196.97x = 1,795.58 × 319.50
  4. Step 4: Simplify right side
    1,196.97x = 573,687.81
  5. Step 5: Solve for x
    x = 573,687.81/1,196.97
  6. Step 6: Final answer
    x = 479.28

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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.