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Finding the Fourth Proportional to 704.63, 1,059.09 and 471.20

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Solution

The fourth proportional to 704.63, 1,059.09 and 471.20 is: 708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.63 : 1,059.09 = 471.20 : x
  2. Step 2: Convert to fraction form
    704.63/1,059.09 = 471.20/x
  3. Step 3: Cross multiply
    704.63x = 1,059.09 × 471.20
  4. Step 4: Simplify right side
    704.63x = 499,040.12
  5. Step 5: Solve for x
    x = 499,040.12/704.63
  6. Step 6: Final answer
    x = 708.23

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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.