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Finding the Fourth Proportional to 1,199.65, 1,799.52 and 506.23

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Solution

The fourth proportional to 1,199.65, 1,799.52 and 506.23 is: 759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.65 : 1,799.52 = 506.23 : x
  2. Step 2: Convert to fraction form
    1,199.65/1,799.52 = 506.23/x
  3. Step 3: Cross multiply
    1,199.65x = 1,799.52 × 506.23
  4. Step 4: Simplify right side
    1,199.65x = 910,971.01
  5. Step 5: Solve for x
    x = 910,971.01/1,199.65
  6. Step 6: Final answer
    x = 759.36

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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.