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Finding the Fourth Proportional to 1,364.79, 1,883.62 and 833.99

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Solution

The fourth proportional to 1,364.79, 1,883.62 and 833.99 is: 1,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.79 : 1,883.62 = 833.99 : x
  2. Step 2: Convert to fraction form
    1,364.79/1,883.62 = 833.99/x
  3. Step 3: Cross multiply
    1,364.79x = 1,883.62 × 833.99
  4. Step 4: Simplify right side
    1,364.79x = 1,570,912.39
  5. Step 5: Solve for x
    x = 1,570,912.39/1,364.79
  6. Step 6: Final answer
    x = 1,151.02

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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.