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Finding the Fourth Proportional to 851.70, 1,277.55 and 838.90

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Solution

The fourth proportional to 851.70, 1,277.55 and 838.90 is: 1,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.70 : 1,277.55 = 838.90 : x
  2. Step 2: Convert to fraction form
    851.70/1,277.55 = 838.90/x
  3. Step 3: Cross multiply
    851.70x = 1,277.55 × 838.90
  4. Step 4: Simplify right side
    851.70x = 1,071,736.70
  5. Step 5: Solve for x
    x = 1,071,736.70/851.70
  6. Step 6: Final answer
    x = 1,258.35

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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.