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Finding the Fourth Proportional to 853.77, 1,280.70 and 415.43

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Solution

The fourth proportional to 853.77, 1,280.70 and 415.43 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.77 : 1,280.70 = 415.43 : x
  2. Step 2: Convert to fraction form
    853.77/1,280.70 = 415.43/x
  3. Step 3: Cross multiply
    853.77x = 1,280.70 × 415.43
  4. Step 4: Simplify right side
    853.77x = 532,034.80
  5. Step 5: Solve for x
    x = 532,034.80/853.77
  6. Step 6: Final answer
    x = 623.16

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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.