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Finding the Fourth Proportional to 683.65, 944.45 and 631.81

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Solution

The fourth proportional to 683.65, 944.45 and 631.81 is: 872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 944.45 = 631.81 : x
  2. Step 2: Convert to fraction form
    683.65/944.45 = 631.81/x
  3. Step 3: Cross multiply
    683.65x = 944.45 × 631.81
  4. Step 4: Simplify right side
    683.65x = 596,712.95
  5. Step 5: Solve for x
    x = 596,712.95/683.65
  6. Step 6: Final answer
    x = 872.83

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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.