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Finding the Fourth Proportional to 684.54, 944.16 and 487.98

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Solution

The fourth proportional to 684.54, 944.16 and 487.98 is: 673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.54 : 944.16 = 487.98 : x
  2. Step 2: Convert to fraction form
    684.54/944.16 = 487.98/x
  3. Step 3: Cross multiply
    684.54x = 944.16 × 487.98
  4. Step 4: Simplify right side
    684.54x = 460,731.20
  5. Step 5: Solve for x
    x = 460,731.20/684.54
  6. Step 6: Final answer
    x = 673.05

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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.