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Finding the Fourth Proportional to 782.18, 1,172.98 and 288.43

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Solution

The fourth proportional to 782.18, 1,172.98 and 288.43 is: 432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.18 : 1,172.98 = 288.43 : x
  2. Step 2: Convert to fraction form
    782.18/1,172.98 = 288.43/x
  3. Step 3: Cross multiply
    782.18x = 1,172.98 × 288.43
  4. Step 4: Simplify right side
    782.18x = 338,320.05
  5. Step 5: Solve for x
    x = 338,320.05/782.18
  6. Step 6: Final answer
    x = 432.54

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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.