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Finding the Fourth Proportional to 1,284.28, 1,926.36 and 406.76

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Solution

The fourth proportional to 1,284.28, 1,926.36 and 406.76 is: 610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.28 : 1,926.36 = 406.76 : x
  2. Step 2: Convert to fraction form
    1,284.28/1,926.36 = 406.76/x
  3. Step 3: Cross multiply
    1,284.28x = 1,926.36 × 406.76
  4. Step 4: Simplify right side
    1,284.28x = 783,566.19
  5. Step 5: Solve for x
    x = 783,566.19/1,284.28
  6. Step 6: Final answer
    x = 610.12

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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.