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Finding the Fourth Proportional to 775.15, 1,069.70 and 421.07

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Solution

The fourth proportional to 775.15, 1,069.70 and 421.07 is: 581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.15 : 1,069.70 = 421.07 : x
  2. Step 2: Convert to fraction form
    775.15/1,069.70 = 421.07/x
  3. Step 3: Cross multiply
    775.15x = 1,069.70 × 421.07
  4. Step 4: Simplify right side
    775.15x = 450,418.29
  5. Step 5: Solve for x
    x = 450,418.29/775.15
  6. Step 6: Final answer
    x = 581.07

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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.