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Finding the Fourth Proportional to 833, 1,149.62 and 522.44

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Solution

The fourth proportional to 833, 1,149.62 and 522.44 is: 721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    833 : 1,149.62 = 522.44 : x
  2. Step 2: Convert to fraction form
    833/1,149.62 = 522.44/x
  3. Step 3: Cross multiply
    833x = 1,149.62 × 522.44
  4. Step 4: Simplify right side
    833x = 600,607.47
  5. Step 5: Solve for x
    x = 600,607.47/833
  6. Step 6: Final answer
    x = 721.02

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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.