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Finding the Fourth Proportional to 776.47, 1,164.70 and 289.41

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Solution

The fourth proportional to 776.47, 1,164.70 and 289.41 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.47 : 1,164.70 = 289.41 : x
  2. Step 2: Convert to fraction form
    776.47/1,164.70 = 289.41/x
  3. Step 3: Cross multiply
    776.47x = 1,164.70 × 289.41
  4. Step 4: Simplify right side
    776.47x = 337,072.64
  5. Step 5: Solve for x
    x = 337,072.64/776.47
  6. Step 6: Final answer
    x = 434.11

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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.