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Finding the Fourth Proportional to 782.55, 1,173.06 and 295.49

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Solution

The fourth proportional to 782.55, 1,173.06 and 295.49 is: 442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.55 : 1,173.06 = 295.49 : x
  2. Step 2: Convert to fraction form
    782.55/1,173.06 = 295.49/x
  3. Step 3: Cross multiply
    782.55x = 1,173.06 × 295.49
  4. Step 4: Simplify right side
    782.55x = 346,627.50
  5. Step 5: Solve for x
    x = 346,627.50/782.55
  6. Step 6: Final answer
    x = 442.95

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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.