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Finding the Fourth Proportional to 788.33, 1,087.53 and 522.83

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Solution

The fourth proportional to 788.33, 1,087.53 and 522.83 is: 721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.33 : 1,087.53 = 522.83 : x
  2. Step 2: Convert to fraction form
    788.33/1,087.53 = 522.83/x
  3. Step 3: Cross multiply
    788.33x = 1,087.53 × 522.83
  4. Step 4: Simplify right side
    788.33x = 568,593.31
  5. Step 5: Solve for x
    x = 568,593.31/788.33
  6. Step 6: Final answer
    x = 721.26

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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.