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Finding the Fourth Proportional to 776.39, 1,164.23 and 289.31

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Solution

The fourth proportional to 776.39, 1,164.23 and 289.31 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.39 : 1,164.23 = 289.31 : x
  2. Step 2: Convert to fraction form
    776.39/1,164.23 = 289.31/x
  3. Step 3: Cross multiply
    776.39x = 1,164.23 × 289.31
  4. Step 4: Simplify right side
    776.39x = 336,821.93
  5. Step 5: Solve for x
    x = 336,821.93/776.39
  6. Step 6: Final answer
    x = 433.83

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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.