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Finding the Fourth Proportional to 860.98, 1,291.07 and 275.87

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Solution

The fourth proportional to 860.98, 1,291.07 and 275.87 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.98 : 1,291.07 = 275.87 : x
  2. Step 2: Convert to fraction form
    860.98/1,291.07 = 275.87/x
  3. Step 3: Cross multiply
    860.98x = 1,291.07 × 275.87
  4. Step 4: Simplify right side
    860.98x = 356,161.72
  5. Step 5: Solve for x
    x = 356,161.72/860.98
  6. Step 6: Final answer
    x = 413.67

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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.