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Finding the Fourth Proportional to 1,200.83, 1,657.90 and 823.36

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Solution

The fourth proportional to 1,200.83, 1,657.90 and 823.36 is: 1,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.83 : 1,657.90 = 823.36 : x
  2. Step 2: Convert to fraction form
    1,200.83/1,657.90 = 823.36/x
  3. Step 3: Cross multiply
    1,200.83x = 1,657.90 × 823.36
  4. Step 4: Simplify right side
    1,200.83x = 1,365,036.14
  5. Step 5: Solve for x
    x = 1,365,036.14/1,200.83
  6. Step 6: Final answer
    x = 1,136.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.