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Finding the Fourth Proportional to 830.82, 1,246.12 and 214.53

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Solution

The fourth proportional to 830.82, 1,246.12 and 214.53 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,246.12 = 214.53 : x
  2. Step 2: Convert to fraction form
    830.82/1,246.12 = 214.53/x
  3. Step 3: Cross multiply
    830.82x = 1,246.12 × 214.53
  4. Step 4: Simplify right side
    830.82x = 267,329.59
  5. Step 5: Solve for x
    x = 267,329.59/830.82
  6. Step 6: Final answer
    x = 321.77

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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.