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Finding the Fourth Proportional to 833.73, 1,150.64 and 623.54

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Solution

The fourth proportional to 833.73, 1,150.64 and 623.54 is: 860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.73 : 1,150.64 = 623.54 : x
  2. Step 2: Convert to fraction form
    833.73/1,150.64 = 623.54/x
  3. Step 3: Cross multiply
    833.73x = 1,150.64 × 623.54
  4. Step 4: Simplify right side
    833.73x = 717,470.07
  5. Step 5: Solve for x
    x = 717,470.07/833.73
  6. Step 6: Final answer
    x = 860.55

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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.