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Finding the Fourth Proportional to 782.48, 1,173.84 and 295.52

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Solution

The fourth proportional to 782.48, 1,173.84 and 295.52 is: 443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.48 : 1,173.84 = 295.52 : x
  2. Step 2: Convert to fraction form
    782.48/1,173.84 = 295.52/x
  3. Step 3: Cross multiply
    782.48x = 1,173.84 × 295.52
  4. Step 4: Simplify right side
    782.48x = 346,893.20
  5. Step 5: Solve for x
    x = 346,893.20/782.48
  6. Step 6: Final answer
    x = 443.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.