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Finding the Fourth Proportional to 776.37, 1,164.57 and 289.16

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Solution

The fourth proportional to 776.37, 1,164.57 and 289.16 is: 433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.37 : 1,164.57 = 289.16 : x
  2. Step 2: Convert to fraction form
    776.37/1,164.57 = 289.16/x
  3. Step 3: Cross multiply
    776.37x = 1,164.57 × 289.16
  4. Step 4: Simplify right side
    776.37x = 336,747.06
  5. Step 5: Solve for x
    x = 336,747.06/776.37
  6. Step 6: Final answer
    x = 433.75

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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.