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Finding the Fourth Proportional to 776.09, 1,163.32 and 288.47

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Solution

The fourth proportional to 776.09, 1,163.32 and 288.47 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.09 : 1,163.32 = 288.47 : x
  2. Step 2: Convert to fraction form
    776.09/1,163.32 = 288.47/x
  3. Step 3: Cross multiply
    776.09x = 1,163.32 × 288.47
  4. Step 4: Simplify right side
    776.09x = 335,582.92
  5. Step 5: Solve for x
    x = 335,582.92/776.09
  6. Step 6: Final answer
    x = 432.40

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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.