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Finding the Fourth Proportional to 963.75, 1,330.26 and 853.59

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Solution

The fourth proportional to 963.75, 1,330.26 and 853.59 is: 1,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.75 : 1,330.26 = 853.59 : x
  2. Step 2: Convert to fraction form
    963.75/1,330.26 = 853.59/x
  3. Step 3: Cross multiply
    963.75x = 1,330.26 × 853.59
  4. Step 4: Simplify right side
    963.75x = 1,135,496.63
  5. Step 5: Solve for x
    x = 1,135,496.63/963.75
  6. Step 6: Final answer
    x = 1,178.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.