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Finding the Fourth Proportional to 828.95, 1,243.60 and 417.92

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Solution

The fourth proportional to 828.95, 1,243.60 and 417.92 is: 626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.95 : 1,243.60 = 417.92 : x
  2. Step 2: Convert to fraction form
    828.95/1,243.60 = 417.92/x
  3. Step 3: Cross multiply
    828.95x = 1,243.60 × 417.92
  4. Step 4: Simplify right side
    828.95x = 519,718.05
  5. Step 5: Solve for x
    x = 519,718.05/828.95
  6. Step 6: Final answer
    x = 626.96

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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.