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Finding the Fourth Proportional to 782.07, 1,172.95 and 234.13

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Solution

The fourth proportional to 782.07, 1,172.95 and 234.13 is: 351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.07 : 1,172.95 = 234.13 : x
  2. Step 2: Convert to fraction form
    782.07/1,172.95 = 234.13/x
  3. Step 3: Cross multiply
    782.07x = 1,172.95 × 234.13
  4. Step 4: Simplify right side
    782.07x = 274,622.78
  5. Step 5: Solve for x
    x = 274,622.78/782.07
  6. Step 6: Final answer
    x = 351.15

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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.