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Finding the Fourth Proportional to 841.70, 1,261.56 and 378.94

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Solution

The fourth proportional to 841.70, 1,261.56 and 378.94 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.70 : 1,261.56 = 378.94 : x
  2. Step 2: Convert to fraction form
    841.70/1,261.56 = 378.94/x
  3. Step 3: Cross multiply
    841.70x = 1,261.56 × 378.94
  4. Step 4: Simplify right side
    841.70x = 478,049.24
  5. Step 5: Solve for x
    x = 478,049.24/841.70
  6. Step 6: Final answer
    x = 567.96

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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.