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Finding the Fourth Proportional to 776.36, 1,164.66 and 289.40

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Solution

The fourth proportional to 776.36, 1,164.66 and 289.40 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.36 : 1,164.66 = 289.40 : x
  2. Step 2: Convert to fraction form
    776.36/1,164.66 = 289.40/x
  3. Step 3: Cross multiply
    776.36x = 1,164.66 × 289.40
  4. Step 4: Simplify right side
    776.36x = 337,052.60
  5. Step 5: Solve for x
    x = 337,052.60/776.36
  6. Step 6: Final answer
    x = 434.14

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