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Finding the Fourth Proportional to 1,196.69, 1,795.77 and 547.47

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Solution

The fourth proportional to 1,196.69, 1,795.77 and 547.47 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.69 : 1,795.77 = 547.47 : x
  2. Step 2: Convert to fraction form
    1,196.69/1,795.77 = 547.47/x
  3. Step 3: Cross multiply
    1,196.69x = 1,795.77 × 547.47
  4. Step 4: Simplify right side
    1,196.69x = 983,130.20
  5. Step 5: Solve for x
    x = 983,130.20/1,196.69
  6. Step 6: Final answer
    x = 821.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.