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Finding the Fourth Proportional to 1,260.28, 1,890.42 and 828.28

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Solution

The fourth proportional to 1,260.28, 1,890.42 and 828.28 is: 1,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.28 : 1,890.42 = 828.28 : x
  2. Step 2: Convert to fraction form
    1,260.28/1,890.42 = 828.28/x
  3. Step 3: Cross multiply
    1,260.28x = 1,890.42 × 828.28
  4. Step 4: Simplify right side
    1,260.28x = 1,565,797.08
  5. Step 5: Solve for x
    x = 1,565,797.08/1,260.28
  6. Step 6: Final answer
    x = 1,242.42

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.