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Finding the Fourth Proportional to 775.12, 1,069.67 and 421.05

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Solution

The fourth proportional to 775.12, 1,069.67 and 421.05 is: 581.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.12 : 1,069.67 = 421.05 : x
  2. Step 2: Convert to fraction form
    775.12/1,069.67 = 421.05/x
  3. Step 3: Cross multiply
    775.12x = 1,069.67 × 421.05
  4. Step 4: Simplify right side
    775.12x = 450,381.23
  5. Step 5: Solve for x
    x = 450,381.23/775.12
  6. Step 6: Final answer
    x = 581.05

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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.