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Finding the Fourth Proportional to 1,254.86, 1,882.42 and 638.18

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Solution

The fourth proportional to 1,254.86, 1,882.42 and 638.18 is: 957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.86 : 1,882.42 = 638.18 : x
  2. Step 2: Convert to fraction form
    1,254.86/1,882.42 = 638.18/x
  3. Step 3: Cross multiply
    1,254.86x = 1,882.42 × 638.18
  4. Step 4: Simplify right side
    1,254.86x = 1,201,322.80
  5. Step 5: Solve for x
    x = 1,201,322.80/1,254.86
  6. Step 6: Final answer
    x = 957.34

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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.