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Finding the Fourth Proportional to 830.09, 1,245.14 and 342.95

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Solution

The fourth proportional to 830.09, 1,245.14 and 342.95 is: 514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.09 : 1,245.14 = 342.95 : x
  2. Step 2: Convert to fraction form
    830.09/1,245.14 = 342.95/x
  3. Step 3: Cross multiply
    830.09x = 1,245.14 × 342.95
  4. Step 4: Simplify right side
    830.09x = 427,012.82
  5. Step 5: Solve for x
    x = 427,012.82/830.09
  6. Step 6: Final answer
    x = 514.42

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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.