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Finding the Fourth Proportional to 708.16, 1,060.44 and 419.80

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Solution

The fourth proportional to 708.16, 1,060.44 and 419.80 is: 628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 1,060.44 = 419.80 : x
  2. Step 2: Convert to fraction form
    708.16/1,060.44 = 419.80/x
  3. Step 3: Cross multiply
    708.16x = 1,060.44 × 419.80
  4. Step 4: Simplify right side
    708.16x = 445,172.71
  5. Step 5: Solve for x
    x = 445,172.71/708.16
  6. Step 6: Final answer
    x = 628.63

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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.