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Finding the Fourth Proportional to 853.91, 1,178.08 and 559.34

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Solution

The fourth proportional to 853.91, 1,178.08 and 559.34 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.91 : 1,178.08 = 559.34 : x
  2. Step 2: Convert to fraction form
    853.91/1,178.08 = 559.34/x
  3. Step 3: Cross multiply
    853.91x = 1,178.08 × 559.34
  4. Step 4: Simplify right side
    853.91x = 658,944.40
  5. Step 5: Solve for x
    x = 658,944.40/853.91
  6. Step 6: Final answer
    x = 771.68

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Double scale
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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.