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Finding the Fourth Proportional to 704.26, 1,055.22 and 558.10

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Solution

The fourth proportional to 704.26, 1,055.22 and 558.10 is: 836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.26 : 1,055.22 = 558.10 : x
  2. Step 2: Convert to fraction form
    704.26/1,055.22 = 558.10/x
  3. Step 3: Cross multiply
    704.26x = 1,055.22 × 558.10
  4. Step 4: Simplify right side
    704.26x = 588,918.28
  5. Step 5: Solve for x
    x = 588,918.28/704.26
  6. Step 6: Final answer
    x = 836.22

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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.