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Finding the Fourth Proportional to 1,196.75, 1,795.73 and 547.64

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Solution

The fourth proportional to 1,196.75, 1,795.73 and 547.64 is: 821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.75 : 1,795.73 = 547.64 : x
  2. Step 2: Convert to fraction form
    1,196.75/1,795.73 = 547.64/x
  3. Step 3: Cross multiply
    1,196.75x = 1,795.73 × 547.64
  4. Step 4: Simplify right side
    1,196.75x = 983,413.58
  5. Step 5: Solve for x
    x = 983,413.58/1,196.75
  6. Step 6: Final answer
    x = 821.74

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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.