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Finding the Fourth Proportional to 789.76, 1,090.14 and 458.34

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Solution

The fourth proportional to 789.76, 1,090.14 and 458.34 is: 632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.76 : 1,090.14 = 458.34 : x
  2. Step 2: Convert to fraction form
    789.76/1,090.14 = 458.34/x
  3. Step 3: Cross multiply
    789.76x = 1,090.14 × 458.34
  4. Step 4: Simplify right side
    789.76x = 499,654.77
  5. Step 5: Solve for x
    x = 499,654.77/789.76
  6. Step 6: Final answer
    x = 632.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.