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Finding the Fourth Proportional to 775.76, 1,164.16 and 289.20

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Solution

The fourth proportional to 775.76, 1,164.16 and 289.20 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.76 : 1,164.16 = 289.20 : x
  2. Step 2: Convert to fraction form
    775.76/1,164.16 = 289.20/x
  3. Step 3: Cross multiply
    775.76x = 1,164.16 × 289.20
  4. Step 4: Simplify right side
    775.76x = 336,675.07
  5. Step 5: Solve for x
    x = 336,675.07/775.76
  6. Step 6: Final answer
    x = 433.99

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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.