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Finding the Fourth Proportional to 830.83, 1,245.38 and 310.61

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Solution

The fourth proportional to 830.83, 1,245.38 and 310.61 is: 465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.83 : 1,245.38 = 310.61 : x
  2. Step 2: Convert to fraction form
    830.83/1,245.38 = 310.61/x
  3. Step 3: Cross multiply
    830.83x = 1,245.38 × 310.61
  4. Step 4: Simplify right side
    830.83x = 386,827.48
  5. Step 5: Solve for x
    x = 386,827.48/830.83
  6. Step 6: Final answer
    x = 465.59

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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.