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Finding the Fourth Proportional to 789.56, 1,089.36 and 458

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Solution

The fourth proportional to 789.56, 1,089.36 and 458 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.56 : 1,089.36 = 458 : x
  2. Step 2: Convert to fraction form
    789.56/1,089.36 = 458/x
  3. Step 3: Cross multiply
    789.56x = 1,089.36 × 458
  4. Step 4: Simplify right side
    789.56x = 498,926.88
  5. Step 5: Solve for x
    x = 498,926.88/789.56
  6. Step 6: Final answer
    x = 631.90

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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.