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Finding the Fourth Proportional to 853.24, 1,177.17 and 558.67

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Solution

The fourth proportional to 853.24, 1,177.17 and 558.67 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.24 : 1,177.17 = 558.67 : x
  2. Step 2: Convert to fraction form
    853.24/1,177.17 = 558.67/x
  3. Step 3: Cross multiply
    853.24x = 1,177.17 × 558.67
  4. Step 4: Simplify right side
    853.24x = 657,649.56
  5. Step 5: Solve for x
    x = 657,649.56/853.24
  6. Step 6: Final answer
    x = 770.77

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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.