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Finding the Fourth Proportional to 830.85, 1,242.84 and 682.93

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Solution

The fourth proportional to 830.85, 1,242.84 and 682.93 is: 1,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.85 : 1,242.84 = 682.93 : x
  2. Step 2: Convert to fraction form
    830.85/1,242.84 = 682.93/x
  3. Step 3: Cross multiply
    830.85x = 1,242.84 × 682.93
  4. Step 4: Simplify right side
    830.85x = 848,772.72
  5. Step 5: Solve for x
    x = 848,772.72/830.85
  6. Step 6: Final answer
    x = 1,021.57

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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.