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Finding the Fourth Proportional to 1,199.20, 1,799.69 and 468.76

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Solution

The fourth proportional to 1,199.20, 1,799.69 and 468.76 is: 703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.20 : 1,799.69 = 468.76 : x
  2. Step 2: Convert to fraction form
    1,199.20/1,799.69 = 468.76/x
  3. Step 3: Cross multiply
    1,199.20x = 1,799.69 × 468.76
  4. Step 4: Simplify right side
    1,199.20x = 843,622.68
  5. Step 5: Solve for x
    x = 843,622.68/1,199.20
  6. Step 6: Final answer
    x = 703.49

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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.