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Finding the Fourth Proportional to 782.77, 1,174.06 and 234.95

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Solution

The fourth proportional to 782.77, 1,174.06 and 234.95 is: 352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.77 : 1,174.06 = 234.95 : x
  2. Step 2: Convert to fraction form
    782.77/1,174.06 = 234.95/x
  3. Step 3: Cross multiply
    782.77x = 1,174.06 × 234.95
  4. Step 4: Simplify right side
    782.77x = 275,844.22
  5. Step 5: Solve for x
    x = 275,844.22/782.77
  6. Step 6: Final answer
    x = 352.40

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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.