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Finding the Fourth Proportional to 1,197.46, 1,794.44 and 580.47

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Solution

The fourth proportional to 1,197.46, 1,794.44 and 580.47 is: 869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.46 : 1,794.44 = 580.47 : x
  2. Step 2: Convert to fraction form
    1,197.46/1,794.44 = 580.47/x
  3. Step 3: Cross multiply
    1,197.46x = 1,794.44 × 580.47
  4. Step 4: Simplify right side
    1,197.46x = 1,041,612.49
  5. Step 5: Solve for x
    x = 1,041,612.49/1,197.46
  6. Step 6: Final answer
    x = 869.85

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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.