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Finding the Fourth Proportional to 853.98, 1,177.34 and 559.14

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Solution

The fourth proportional to 853.98, 1,177.34 and 559.14 is: 770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,177.34 = 559.14 : x
  2. Step 2: Convert to fraction form
    853.98/1,177.34 = 559.14/x
  3. Step 3: Cross multiply
    853.98x = 1,177.34 × 559.14
  4. Step 4: Simplify right side
    853.98x = 658,297.89
  5. Step 5: Solve for x
    x = 658,297.89/853.98
  6. Step 6: Final answer
    x = 770.86

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1.5x scale

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.