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Finding the Fourth Proportional to 782.69, 1,172.81 and 295.47

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Solution

The fourth proportional to 782.69, 1,172.81 and 295.47 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.69 : 1,172.81 = 295.47 : x
  2. Step 2: Convert to fraction form
    782.69/1,172.81 = 295.47/x
  3. Step 3: Cross multiply
    782.69x = 1,172.81 × 295.47
  4. Step 4: Simplify right side
    782.69x = 346,530.91
  5. Step 5: Solve for x
    x = 346,530.91/782.69
  6. Step 6: Final answer
    x = 442.75

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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.