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Finding the Fourth Proportional to 858.25, 1,290.11 and 535.67

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Solution

The fourth proportional to 858.25, 1,290.11 and 535.67 is: 805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.25 : 1,290.11 = 535.67 : x
  2. Step 2: Convert to fraction form
    858.25/1,290.11 = 535.67/x
  3. Step 3: Cross multiply
    858.25x = 1,290.11 × 535.67
  4. Step 4: Simplify right side
    858.25x = 691,064.09
  5. Step 5: Solve for x
    x = 691,064.09/858.25
  6. Step 6: Final answer
    x = 805.20

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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.