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Finding the Fourth Proportional to 776.85, 1,072.03 and 427.53

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Solution

The fourth proportional to 776.85, 1,072.03 and 427.53 is: 589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.85 : 1,072.03 = 427.53 : x
  2. Step 2: Convert to fraction form
    776.85/1,072.03 = 427.53/x
  3. Step 3: Cross multiply
    776.85x = 1,072.03 × 427.53
  4. Step 4: Simplify right side
    776.85x = 458,324.99
  5. Step 5: Solve for x
    x = 458,324.99/776.85
  6. Step 6: Final answer
    x = 589.98

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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.