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Finding the Fourth Proportional to 830.82, 1,245.99 and 282.88

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Solution

The fourth proportional to 830.82, 1,245.99 and 282.88 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.82 : 1,245.99 = 282.88 : x
  2. Step 2: Convert to fraction form
    830.82/1,245.99 = 282.88/x
  3. Step 3: Cross multiply
    830.82x = 1,245.99 × 282.88
  4. Step 4: Simplify right side
    830.82x = 352,459.42
  5. Step 5: Solve for x
    x = 352,459.42/830.82
  6. Step 6: Final answer
    x = 424.23

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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.