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Finding the Fourth Proportional to 835.73, 1,152.85 and 678.54

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Solution

The fourth proportional to 835.73, 1,152.85 and 678.54 is: 936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.73 : 1,152.85 = 678.54 : x
  2. Step 2: Convert to fraction form
    835.73/1,152.85 = 678.54/x
  3. Step 3: Cross multiply
    835.73x = 1,152.85 × 678.54
  4. Step 4: Simplify right side
    835.73x = 782,254.84
  5. Step 5: Solve for x
    x = 782,254.84/835.73
  6. Step 6: Final answer
    x = 936.01

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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.