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Finding the Fourth Proportional to 775.85, 1,162.76 and 666.91

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Solution

The fourth proportional to 775.85, 1,162.76 and 666.91 is: 999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.85 : 1,162.76 = 666.91 : x
  2. Step 2: Convert to fraction form
    775.85/1,162.76 = 666.91/x
  3. Step 3: Cross multiply
    775.85x = 1,162.76 × 666.91
  4. Step 4: Simplify right side
    775.85x = 775,455.03
  5. Step 5: Solve for x
    x = 775,455.03/775.85
  6. Step 6: Final answer
    x = 999.49

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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.