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Finding the Fourth Proportional to 1,199.22, 1,798.86 and 429.18

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Solution

The fourth proportional to 1,199.22, 1,798.86 and 429.18 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.22 : 1,798.86 = 429.18 : x
  2. Step 2: Convert to fraction form
    1,199.22/1,798.86 = 429.18/x
  3. Step 3: Cross multiply
    1,199.22x = 1,798.86 × 429.18
  4. Step 4: Simplify right side
    1,199.22x = 772,034.73
  5. Step 5: Solve for x
    x = 772,034.73/1,199.22
  6. Step 6: Final answer
    x = 643.78

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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.