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Finding the Fourth Proportional to 1,196.40, 1,794.76 and 547.32

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Solution

The fourth proportional to 1,196.40, 1,794.76 and 547.32 is: 821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.40 : 1,794.76 = 547.32 : x
  2. Step 2: Convert to fraction form
    1,196.40/1,794.76 = 547.32/x
  3. Step 3: Cross multiply
    1,196.40x = 1,794.76 × 547.32
  4. Step 4: Simplify right side
    1,196.40x = 982,308.04
  5. Step 5: Solve for x
    x = 982,308.04/1,196.40
  6. Step 6: Final answer
    x = 821.05

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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.