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Finding the Fourth Proportional to 830.06, 1,245.05 and 342.77

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Solution

The fourth proportional to 830.06, 1,245.05 and 342.77 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.06 : 1,245.05 = 342.77 : x
  2. Step 2: Convert to fraction form
    830.06/1,245.05 = 342.77/x
  3. Step 3: Cross multiply
    830.06x = 1,245.05 × 342.77
  4. Step 4: Simplify right side
    830.06x = 426,757.85
  5. Step 5: Solve for x
    x = 426,757.85/830.06
  6. Step 6: Final answer
    x = 514.13

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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.