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Finding the Fourth Proportional to 705.44, 1,056.82 and 427.88

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Solution

The fourth proportional to 705.44, 1,056.82 and 427.88 is: 641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.44 : 1,056.82 = 427.88 : x
  2. Step 2: Convert to fraction form
    705.44/1,056.82 = 427.88/x
  3. Step 3: Cross multiply
    705.44x = 1,056.82 × 427.88
  4. Step 4: Simplify right side
    705.44x = 452,191.84
  5. Step 5: Solve for x
    x = 452,191.84/705.44
  6. Step 6: Final answer
    x = 641.00

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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.