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Finding the Fourth Proportional to 878.06, 1,314.33 and 657.38

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Solution

The fourth proportional to 878.06, 1,314.33 and 657.38 is: 984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.06 : 1,314.33 = 657.38 : x
  2. Step 2: Convert to fraction form
    878.06/1,314.33 = 657.38/x
  3. Step 3: Cross multiply
    878.06x = 1,314.33 × 657.38
  4. Step 4: Simplify right side
    878.06x = 864,007.68
  5. Step 5: Solve for x
    x = 864,007.68/878.06
  6. Step 6: Final answer
    x = 984.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.