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Finding the Fourth Proportional to 1,197.57, 1,796.35 and 375.91

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Solution

The fourth proportional to 1,197.57, 1,796.35 and 375.91 is: 563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.57 : 1,796.35 = 375.91 : x
  2. Step 2: Convert to fraction form
    1,197.57/1,796.35 = 375.91/x
  3. Step 3: Cross multiply
    1,197.57x = 1,796.35 × 375.91
  4. Step 4: Simplify right side
    1,197.57x = 675,264.99
  5. Step 5: Solve for x
    x = 675,264.99/1,197.57
  6. Step 6: Final answer
    x = 563.87

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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.