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Finding the Fourth Proportional to 776.90, 1,164.32 and 289.46

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Solution

The fourth proportional to 776.90, 1,164.32 and 289.46 is: 433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.90 : 1,164.32 = 289.46 : x
  2. Step 2: Convert to fraction form
    776.90/1,164.32 = 289.46/x
  3. Step 3: Cross multiply
    776.90x = 1,164.32 × 289.46
  4. Step 4: Simplify right side
    776.90x = 337,024.07
  5. Step 5: Solve for x
    x = 337,024.07/776.90
  6. Step 6: Final answer
    x = 433.81

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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.