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Finding the Fourth Proportional to 782.14, 1,172.73 and 295.23

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Solution

The fourth proportional to 782.14, 1,172.73 and 295.23 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.14 : 1,172.73 = 295.23 : x
  2. Step 2: Convert to fraction form
    782.14/1,172.73 = 295.23/x
  3. Step 3: Cross multiply
    782.14x = 1,172.73 × 295.23
  4. Step 4: Simplify right side
    782.14x = 346,225.08
  5. Step 5: Solve for x
    x = 346,225.08/782.14
  6. Step 6: Final answer
    x = 442.66

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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.