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Finding the Fourth Proportional to 841.09, 1,261.65 and 408.14

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Solution

The fourth proportional to 841.09, 1,261.65 and 408.14 is: 612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.09 : 1,261.65 = 408.14 : x
  2. Step 2: Convert to fraction form
    841.09/1,261.65 = 408.14/x
  3. Step 3: Cross multiply
    841.09x = 1,261.65 × 408.14
  4. Step 4: Simplify right side
    841.09x = 514,929.83
  5. Step 5: Solve for x
    x = 514,929.83/841.09
  6. Step 6: Final answer
    x = 612.22

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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.