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Finding the Fourth Proportional to 830.85, 1,144.69 and 683.83

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Solution

The fourth proportional to 830.85, 1,144.69 and 683.83 is: 942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.85 : 1,144.69 = 683.83 : x
  2. Step 2: Convert to fraction form
    830.85/1,144.69 = 683.83/x
  3. Step 3: Cross multiply
    830.85x = 1,144.69 × 683.83
  4. Step 4: Simplify right side
    830.85x = 782,773.36
  5. Step 5: Solve for x
    x = 782,773.36/830.85
  6. Step 6: Final answer
    x = 942.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.