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Finding the Fourth Proportional to 771.05, 1,064.00 and 421.67

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Solution

The fourth proportional to 771.05, 1,064.00 and 421.67 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.05 : 1,064.00 = 421.67 : x
  2. Step 2: Convert to fraction form
    771.05/1,064.00 = 421.67/x
  3. Step 3: Cross multiply
    771.05x = 1,064.00 × 421.67
  4. Step 4: Simplify right side
    771.05x = 448,649.45
  5. Step 5: Solve for x
    x = 448,649.45/771.05
  6. Step 6: Final answer
    x = 581.87

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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.