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Finding the Fourth Proportional to 775.16, 1,162.73 and 468.98

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Solution

The fourth proportional to 775.16, 1,162.73 and 468.98 is: 703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.16 : 1,162.73 = 468.98 : x
  2. Step 2: Convert to fraction form
    775.16/1,162.73 = 468.98/x
  3. Step 3: Cross multiply
    775.16x = 1,162.73 × 468.98
  4. Step 4: Simplify right side
    775.16x = 545,288.96
  5. Step 5: Solve for x
    x = 545,288.96/775.16
  6. Step 6: Final answer
    x = 703.46

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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.