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Finding the Fourth Proportional to 1,199.61, 1,798.65 and 506.09

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Solution

The fourth proportional to 1,199.61, 1,798.65 and 506.09 is: 758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.61 : 1,798.65 = 506.09 : x
  2. Step 2: Convert to fraction form
    1,199.61/1,798.65 = 506.09/x
  3. Step 3: Cross multiply
    1,199.61x = 1,798.65 × 506.09
  4. Step 4: Simplify right side
    1,199.61x = 910,278.78
  5. Step 5: Solve for x
    x = 910,278.78/1,199.61
  6. Step 6: Final answer
    x = 758.81

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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.