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Finding the Fourth Proportional to 776.49, 1,164.88 and 289.47

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Solution

The fourth proportional to 776.49, 1,164.88 and 289.47 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.49 : 1,164.88 = 289.47 : x
  2. Step 2: Convert to fraction form
    776.49/1,164.88 = 289.47/x
  3. Step 3: Cross multiply
    776.49x = 1,164.88 × 289.47
  4. Step 4: Simplify right side
    776.49x = 337,202.54
  5. Step 5: Solve for x
    x = 337,202.54/776.49
  6. Step 6: Final answer
    x = 434.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.