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Finding the Fourth Proportional to 775.00, 1,162.43 and 288

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Solution

The fourth proportional to 775.00, 1,162.43 and 288 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.00 : 1,162.43 = 288 : x
  2. Step 2: Convert to fraction form
    775.00/1,162.43 = 288/x
  3. Step 3: Cross multiply
    775.00x = 1,162.43 × 288
  4. Step 4: Simplify right side
    775.00x = 334,779.48
  5. Step 5: Solve for x
    x = 334,779.48/775.00
  6. Step 6: Final answer
    x = 431.97

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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.