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Finding the Fourth Proportional to 1,196.32, 1,794.48 and 547.80

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Solution

The fourth proportional to 1,196.32, 1,794.48 and 547.80 is: 821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.32 : 1,794.48 = 547.80 : x
  2. Step 2: Convert to fraction form
    1,196.32/1,794.48 = 547.80/x
  3. Step 3: Cross multiply
    1,196.32x = 1,794.48 × 547.80
  4. Step 4: Simplify right side
    1,196.32x = 983,016.14
  5. Step 5: Solve for x
    x = 983,016.14/1,196.32
  6. Step 6: Final answer
    x = 821.70

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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.