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Finding the Fourth Proportional to 776.59, 1,164.94 and 289.48

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Solution

The fourth proportional to 776.59, 1,164.94 and 289.48 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.59 : 1,164.94 = 289.48 : x
  2. Step 2: Convert to fraction form
    776.59/1,164.94 = 289.48/x
  3. Step 3: Cross multiply
    776.59x = 1,164.94 × 289.48
  4. Step 4: Simplify right side
    776.59x = 337,222.47
  5. Step 5: Solve for x
    x = 337,222.47/776.59
  6. Step 6: Final answer
    x = 434.23

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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.