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Finding the Fourth Proportional to 647.80, 970.35 and 485.26

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Solution

The fourth proportional to 647.80, 970.35 and 485.26 is: 726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.80 : 970.35 = 485.26 : x
  2. Step 2: Convert to fraction form
    647.80/970.35 = 485.26/x
  3. Step 3: Cross multiply
    647.80x = 970.35 × 485.26
  4. Step 4: Simplify right side
    647.80x = 470,872.04
  5. Step 5: Solve for x
    x = 470,872.04/647.80
  6. Step 6: Final answer
    x = 726.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.