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Finding the Fourth Proportional to 704.20, 1,054.82 and 415.48

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Solution

The fourth proportional to 704.20, 1,054.82 and 415.48 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.20 : 1,054.82 = 415.48 : x
  2. Step 2: Convert to fraction form
    704.20/1,054.82 = 415.48/x
  3. Step 3: Cross multiply
    704.20x = 1,054.82 × 415.48
  4. Step 4: Simplify right side
    704.20x = 438,256.61
  5. Step 5: Solve for x
    x = 438,256.61/704.20
  6. Step 6: Final answer
    x = 622.35

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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.