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Finding the Fourth Proportional to 1,199.71, 1,798.80 and 506.19

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Solution

The fourth proportional to 1,199.71, 1,798.80 and 506.19 is: 758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.71 : 1,798.80 = 506.19 : x
  2. Step 2: Convert to fraction form
    1,199.71/1,798.80 = 506.19/x
  3. Step 3: Cross multiply
    1,199.71x = 1,798.80 × 506.19
  4. Step 4: Simplify right side
    1,199.71x = 910,527.54
  5. Step 5: Solve for x
    x = 910,527.54/1,199.71
  6. Step 6: Final answer
    x = 758.96

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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.