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Finding the Fourth Proportional to 704.80, 971.85 and 455.78

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Solution

The fourth proportional to 704.80, 971.85 and 455.78 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 971.85 = 455.78 : x
  2. Step 2: Convert to fraction form
    704.80/971.85 = 455.78/x
  3. Step 3: Cross multiply
    704.80x = 971.85 × 455.78
  4. Step 4: Simplify right side
    704.80x = 442,945.90
  5. Step 5: Solve for x
    x = 442,945.90/704.80
  6. Step 6: Final answer
    x = 628.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.