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Finding the Fourth Proportional to 704.60, 1,056.26 and 271.43

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Solution

The fourth proportional to 704.60, 1,056.26 and 271.43 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.60 : 1,056.26 = 271.43 : x
  2. Step 2: Convert to fraction form
    704.60/1,056.26 = 271.43/x
  3. Step 3: Cross multiply
    704.60x = 1,056.26 × 271.43
  4. Step 4: Simplify right side
    704.60x = 286,699.29
  5. Step 5: Solve for x
    x = 286,699.29/704.60
  6. Step 6: Final answer
    x = 406.90

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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.