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Finding the Fourth Proportional to 775.84, 1,163.76 and 288.76

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Solution

The fourth proportional to 775.84, 1,163.76 and 288.76 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,163.76 = 288.76 : x
  2. Step 2: Convert to fraction form
    775.84/1,163.76 = 288.76/x
  3. Step 3: Cross multiply
    775.84x = 1,163.76 × 288.76
  4. Step 4: Simplify right side
    775.84x = 336,047.34
  5. Step 5: Solve for x
    x = 336,047.34/775.84
  6. Step 6: Final answer
    x = 433.14

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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.