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Finding the Fourth Proportional to 775.34, 1,162.14 and 427.89

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Solution

The fourth proportional to 775.34, 1,162.14 and 427.89 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,162.14 = 427.89 : x
  2. Step 2: Convert to fraction form
    775.34/1,162.14 = 427.89/x
  3. Step 3: Cross multiply
    775.34x = 1,162.14 × 427.89
  4. Step 4: Simplify right side
    775.34x = 497,268.08
  5. Step 5: Solve for x
    x = 497,268.08/775.34
  6. Step 6: Final answer
    x = 641.36

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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.