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Finding the Fourth Proportional to 1,199.14, 1,798.20 and 377.19

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Solution

The fourth proportional to 1,199.14, 1,798.20 and 377.19 is: 565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.14 : 1,798.20 = 377.19 : x
  2. Step 2: Convert to fraction form
    1,199.14/1,798.20 = 377.19/x
  3. Step 3: Cross multiply
    1,199.14x = 1,798.20 × 377.19
  4. Step 4: Simplify right side
    1,199.14x = 678,263.06
  5. Step 5: Solve for x
    x = 678,263.06/1,199.14
  6. Step 6: Final answer
    x = 565.63

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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.