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Finding the Fourth Proportional to 783.83, 1,175.74 and 198.83

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Solution

The fourth proportional to 783.83, 1,175.74 and 198.83 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.83 : 1,175.74 = 198.83 : x
  2. Step 2: Convert to fraction form
    783.83/1,175.74 = 198.83/x
  3. Step 3: Cross multiply
    783.83x = 1,175.74 × 198.83
  4. Step 4: Simplify right side
    783.83x = 233,774.83
  5. Step 5: Solve for x
    x = 233,774.83/783.83
  6. Step 6: Final answer
    x = 298.25

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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.