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Finding the Fourth Proportional to 789.75, 1,089.87 and 458.17

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Solution

The fourth proportional to 789.75, 1,089.87 and 458.17 is: 632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.75 : 1,089.87 = 458.17 : x
  2. Step 2: Convert to fraction form
    789.75/1,089.87 = 458.17/x
  3. Step 3: Cross multiply
    789.75x = 1,089.87 × 458.17
  4. Step 4: Simplify right side
    789.75x = 499,345.74
  5. Step 5: Solve for x
    x = 499,345.74/789.75
  6. Step 6: Final answer
    x = 632.28

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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.