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Finding the Fourth Proportional to 789.84, 1,089.99 and 458.33

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Solution

The fourth proportional to 789.84, 1,089.99 and 458.33 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.84 : 1,089.99 = 458.33 : x
  2. Step 2: Convert to fraction form
    789.84/1,089.99 = 458.33/x
  3. Step 3: Cross multiply
    789.84x = 1,089.99 × 458.33
  4. Step 4: Simplify right side
    789.84x = 499,569.67
  5. Step 5: Solve for x
    x = 499,569.67/789.84
  6. Step 6: Final answer
    x = 632.49

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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.