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Finding the Fourth Proportional to 774.96, 1,069.43 and 420.86

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Solution

The fourth proportional to 774.96, 1,069.43 and 420.86 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.96 : 1,069.43 = 420.86 : x
  2. Step 2: Convert to fraction form
    774.96/1,069.43 = 420.86/x
  3. Step 3: Cross multiply
    774.96x = 1,069.43 × 420.86
  4. Step 4: Simplify right side
    774.96x = 450,072.86
  5. Step 5: Solve for x
    x = 450,072.86/774.96
  6. Step 6: Final answer
    x = 580.77

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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.