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Finding the Fourth Proportional to 1,196.08, 1,793.82 and 848.40

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Solution

The fourth proportional to 1,196.08, 1,793.82 and 848.40 is: 1,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.08 : 1,793.82 = 848.40 : x
  2. Step 2: Convert to fraction form
    1,196.08/1,793.82 = 848.40/x
  3. Step 3: Cross multiply
    1,196.08x = 1,793.82 × 848.40
  4. Step 4: Simplify right side
    1,196.08x = 1,521,876.89
  5. Step 5: Solve for x
    x = 1,521,876.89/1,196.08
  6. Step 6: Final answer
    x = 1,272.39

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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.