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Finding the Fourth Proportional to 1,022.03, 1,533.63 and 850.77

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Solution

The fourth proportional to 1,022.03, 1,533.63 and 850.77 is: 1,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.03 : 1,533.63 = 850.77 : x
  2. Step 2: Convert to fraction form
    1,022.03/1,533.63 = 850.77/x
  3. Step 3: Cross multiply
    1,022.03x = 1,533.63 × 850.77
  4. Step 4: Simplify right side
    1,022.03x = 1,304,766.40
  5. Step 5: Solve for x
    x = 1,304,766.40/1,022.03
  6. Step 6: Final answer
    x = 1,276.64

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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.