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Finding the Fourth Proportional to 830.80, 1,246.08 and 310.66

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Solution

The fourth proportional to 830.80, 1,246.08 and 310.66 is: 465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.80 : 1,246.08 = 310.66 : x
  2. Step 2: Convert to fraction form
    830.80/1,246.08 = 310.66/x
  3. Step 3: Cross multiply
    830.80x = 1,246.08 × 310.66
  4. Step 4: Simplify right side
    830.80x = 387,107.21
  5. Step 5: Solve for x
    x = 387,107.21/830.80
  6. Step 6: Final answer
    x = 465.95

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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.