Home / 1,199.18-1,799.21-506.02

Finding the Fourth Proportional to 1,199.18, 1,799.21 and 506.02

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Solution

The fourth proportional to 1,199.18, 1,799.21 and 506.02 is: 759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.18 : 1,799.21 = 506.02 : x
  2. Step 2: Convert to fraction form
    1,199.18/1,799.21 = 506.02/x
  3. Step 3: Cross multiply
    1,199.18x = 1,799.21 × 506.02
  4. Step 4: Simplify right side
    1,199.18x = 910,433.71
  5. Step 5: Solve for x
    x = 910,433.71/1,199.18
  6. Step 6: Final answer
    x = 759.21

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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.