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Finding the Fourth Proportional to 997.16, 1,495.76 and 419.72

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Solution

The fourth proportional to 997.16, 1,495.76 and 419.72 is: 629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.16 : 1,495.76 = 419.72 : x
  2. Step 2: Convert to fraction form
    997.16/1,495.76 = 419.72/x
  3. Step 3: Cross multiply
    997.16x = 1,495.76 × 419.72
  4. Step 4: Simplify right side
    997.16x = 627,790.81
  5. Step 5: Solve for x
    x = 627,790.81/997.16
  6. Step 6: Final answer
    x = 629.58

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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.