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Finding the Fourth Proportional to 1,196.01, 1,793.80 and 318.52

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Solution

The fourth proportional to 1,196.01, 1,793.80 and 318.52 is: 477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.01 : 1,793.80 = 318.52 : x
  2. Step 2: Convert to fraction form
    1,196.01/1,793.80 = 318.52/x
  3. Step 3: Cross multiply
    1,196.01x = 1,793.80 × 318.52
  4. Step 4: Simplify right side
    1,196.01x = 571,361.18
  5. Step 5: Solve for x
    x = 571,361.18/1,196.01
  6. Step 6: Final answer
    x = 477.72

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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.