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Finding the Fourth Proportional to 841.85, 1,261.96 and 293.89

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Solution

The fourth proportional to 841.85, 1,261.96 and 293.89 is: 440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.85 : 1,261.96 = 293.89 : x
  2. Step 2: Convert to fraction form
    841.85/1,261.96 = 293.89/x
  3. Step 3: Cross multiply
    841.85x = 1,261.96 × 293.89
  4. Step 4: Simplify right side
    841.85x = 370,877.42
  5. Step 5: Solve for x
    x = 370,877.42/841.85
  6. Step 6: Final answer
    x = 440.55

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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.