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Finding the Fourth Proportional to 682.94, 1,019.45 and 632.18

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Solution

The fourth proportional to 682.94, 1,019.45 and 632.18 is: 943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 1,019.45 = 632.18 : x
  2. Step 2: Convert to fraction form
    682.94/1,019.45 = 632.18/x
  3. Step 3: Cross multiply
    682.94x = 1,019.45 × 632.18
  4. Step 4: Simplify right side
    682.94x = 644,467.64
  5. Step 5: Solve for x
    x = 644,467.64/682.94
  6. Step 6: Final answer
    x = 943.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.