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Finding the Fourth Proportional to 852.95, 1,270.85 and 797.06

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Solution

The fourth proportional to 852.95, 1,270.85 and 797.06 is: 1,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.95 : 1,270.85 = 797.06 : x
  2. Step 2: Convert to fraction form
    852.95/1,270.85 = 797.06/x
  3. Step 3: Cross multiply
    852.95x = 1,270.85 × 797.06
  4. Step 4: Simplify right side
    852.95x = 1,012,942.89
  5. Step 5: Solve for x
    x = 1,012,942.89/852.95
  6. Step 6: Final answer
    x = 1,187.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.