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Finding the Fourth Proportional to 830.47, 1,245.71 and 282.66

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Solution

The fourth proportional to 830.47, 1,245.71 and 282.66 is: 423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.47 : 1,245.71 = 282.66 : x
  2. Step 2: Convert to fraction form
    830.47/1,245.71 = 282.66/x
  3. Step 3: Cross multiply
    830.47x = 1,245.71 × 282.66
  4. Step 4: Simplify right side
    830.47x = 352,112.39
  5. Step 5: Solve for x
    x = 352,112.39/830.47
  6. Step 6: Final answer
    x = 423.99

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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.