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Finding the Fourth Proportional to 782.54, 1,173.84 and 288.98

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Solution

The fourth proportional to 782.54, 1,173.84 and 288.98 is: 433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.54 : 1,173.84 = 288.98 : x
  2. Step 2: Convert to fraction form
    782.54/1,173.84 = 288.98/x
  3. Step 3: Cross multiply
    782.54x = 1,173.84 × 288.98
  4. Step 4: Simplify right side
    782.54x = 339,216.28
  5. Step 5: Solve for x
    x = 339,216.28/782.54
  6. Step 6: Final answer
    x = 433.48

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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.