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Finding the Fourth Proportional to 1,195.20, 1,793.60 and 709.12

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Solution

The fourth proportional to 1,195.20, 1,793.60 and 709.12 is: 1,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.20 : 1,793.60 = 709.12 : x
  2. Step 2: Convert to fraction form
    1,195.20/1,793.60 = 709.12/x
  3. Step 3: Cross multiply
    1,195.20x = 1,793.60 × 709.12
  4. Step 4: Simplify right side
    1,195.20x = 1,271,877.63
  5. Step 5: Solve for x
    x = 1,271,877.63/1,195.20
  6. Step 6: Final answer
    x = 1,064.15

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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.