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Finding the Fourth Proportional to 782.24, 1,173.15 and 295.20

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Solution

The fourth proportional to 782.24, 1,173.15 and 295.20 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.24 : 1,173.15 = 295.20 : x
  2. Step 2: Convert to fraction form
    782.24/1,173.15 = 295.20/x
  3. Step 3: Cross multiply
    782.24x = 1,173.15 × 295.20
  4. Step 4: Simplify right side
    782.24x = 346,313.88
  5. Step 5: Solve for x
    x = 346,313.88/782.24
  6. Step 6: Final answer
    x = 442.72

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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.