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Finding the Fourth Proportional to 841.67, 1,262.71 and 286.38

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Solution

The fourth proportional to 841.67, 1,262.71 and 286.38 is: 429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.67 : 1,262.71 = 286.38 : x
  2. Step 2: Convert to fraction form
    841.67/1,262.71 = 286.38/x
  3. Step 3: Cross multiply
    841.67x = 1,262.71 × 286.38
  4. Step 4: Simplify right side
    841.67x = 361,608.93
  5. Step 5: Solve for x
    x = 361,608.93/841.67
  6. Step 6: Final answer
    x = 429.63

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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.