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Finding the Fourth Proportional to 775.01, 1,161.75 and 287.93

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Solution

The fourth proportional to 775.01, 1,161.75 and 287.93 is: 431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.01 : 1,161.75 = 287.93 : x
  2. Step 2: Convert to fraction form
    775.01/1,161.75 = 287.93/x
  3. Step 3: Cross multiply
    775.01x = 1,161.75 × 287.93
  4. Step 4: Simplify right side
    775.01x = 334,502.68
  5. Step 5: Solve for x
    x = 334,502.68/775.01
  6. Step 6: Final answer
    x = 431.61

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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.