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Finding the Fourth Proportional to 684.69, 944.99 and 486.51

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Solution

The fourth proportional to 684.69, 944.99 and 486.51 is: 671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.69 : 944.99 = 486.51 : x
  2. Step 2: Convert to fraction form
    684.69/944.99 = 486.51/x
  3. Step 3: Cross multiply
    684.69x = 944.99 × 486.51
  4. Step 4: Simplify right side
    684.69x = 459,747.08
  5. Step 5: Solve for x
    x = 459,747.08/684.69
  6. Step 6: Final answer
    x = 671.47

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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.