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Finding the Fourth Proportional to 704.70, 1,055.23 and 460.49

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Solution

The fourth proportional to 704.70, 1,055.23 and 460.49 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.70 : 1,055.23 = 460.49 : x
  2. Step 2: Convert to fraction form
    704.70/1,055.23 = 460.49/x
  3. Step 3: Cross multiply
    704.70x = 1,055.23 × 460.49
  4. Step 4: Simplify right side
    704.70x = 485,916.44
  5. Step 5: Solve for x
    x = 485,916.44/704.70
  6. Step 6: Final answer
    x = 689.54

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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.