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Finding the Fourth Proportional to 841.83, 1,262.09 and 341.46

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Solution

The fourth proportional to 841.83, 1,262.09 and 341.46 is: 511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.83 : 1,262.09 = 341.46 : x
  2. Step 2: Convert to fraction form
    841.83/1,262.09 = 341.46/x
  3. Step 3: Cross multiply
    841.83x = 1,262.09 × 341.46
  4. Step 4: Simplify right side
    841.83x = 430,951.54
  5. Step 5: Solve for x
    x = 430,951.54/841.83
  6. Step 6: Final answer
    x = 511.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.