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Finding the Fourth Proportional to 841.01, 1,261.53 and 255.87

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Solution

The fourth proportional to 841.01, 1,261.53 and 255.87 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.01 : 1,261.53 = 255.87 : x
  2. Step 2: Convert to fraction form
    841.01/1,261.53 = 255.87/x
  3. Step 3: Cross multiply
    841.01x = 1,261.53 × 255.87
  4. Step 4: Simplify right side
    841.01x = 322,787.68
  5. Step 5: Solve for x
    x = 322,787.68/841.01
  6. Step 6: Final answer
    x = 383.81

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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.