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Finding the Fourth Proportional to 704.18, 970.80 and 494.03

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Solution

The fourth proportional to 704.18, 970.80 and 494.03 is: 681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.18 : 970.80 = 494.03 : x
  2. Step 2: Convert to fraction form
    704.18/970.80 = 494.03/x
  3. Step 3: Cross multiply
    704.18x = 970.80 × 494.03
  4. Step 4: Simplify right side
    704.18x = 479,604.32
  5. Step 5: Solve for x
    x = 479,604.32/704.18
  6. Step 6: Final answer
    x = 681.08

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