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Finding the Fourth Proportional to 1,199.12, 1,799.21 and 468.45

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Solution

The fourth proportional to 1,199.12, 1,799.21 and 468.45 is: 702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.12 : 1,799.21 = 468.45 : x
  2. Step 2: Convert to fraction form
    1,199.12/1,799.21 = 468.45/x
  3. Step 3: Cross multiply
    1,199.12x = 1,799.21 × 468.45
  4. Step 4: Simplify right side
    1,199.12x = 842,837.58
  5. Step 5: Solve for x
    x = 842,837.58/1,199.12
  6. Step 6: Final answer
    x = 702.88

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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.