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Finding the Fourth Proportional to 1,197.49, 1,796.13 and 375.67

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Solution

The fourth proportional to 1,197.49, 1,796.13 and 375.67 is: 563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.49 : 1,796.13 = 375.67 : x
  2. Step 2: Convert to fraction form
    1,197.49/1,796.13 = 375.67/x
  3. Step 3: Cross multiply
    1,197.49x = 1,796.13 × 375.67
  4. Step 4: Simplify right side
    1,197.49x = 674,752.16
  5. Step 5: Solve for x
    x = 674,752.16/1,197.49
  6. Step 6: Final answer
    x = 563.47

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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.