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Finding the Fourth Proportional to 853.98, 1,280.94 and 420.78

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Solution

The fourth proportional to 853.98, 1,280.94 and 420.78 is: 631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,280.94 = 420.78 : x
  2. Step 2: Convert to fraction form
    853.98/1,280.94 = 420.78/x
  3. Step 3: Cross multiply
    853.98x = 1,280.94 × 420.78
  4. Step 4: Simplify right side
    853.98x = 538,993.93
  5. Step 5: Solve for x
    x = 538,993.93/853.98
  6. Step 6: Final answer
    x = 631.16

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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.