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Finding the Fourth Proportional to 1,286.28, 1,929.72 and 420.60

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Solution

The fourth proportional to 1,286.28, 1,929.72 and 420.60 is: 631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.28 : 1,929.72 = 420.60 : x
  2. Step 2: Convert to fraction form
    1,286.28/1,929.72 = 420.60/x
  3. Step 3: Cross multiply
    1,286.28x = 1,929.72 × 420.60
  4. Step 4: Simplify right side
    1,286.28x = 811,640.23
  5. Step 5: Solve for x
    x = 811,640.23/1,286.28
  6. Step 6: Final answer
    x = 631.00

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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.