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Finding the Fourth Proportional to 782.94, 1,174.28 and 366.52

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Solution

The fourth proportional to 782.94, 1,174.28 and 366.52 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,174.28 = 366.52 : x
  2. Step 2: Convert to fraction form
    782.94/1,174.28 = 366.52/x
  3. Step 3: Cross multiply
    782.94x = 1,174.28 × 366.52
  4. Step 4: Simplify right side
    782.94x = 430,395.09
  5. Step 5: Solve for x
    x = 430,395.09/782.94
  6. Step 6: Final answer
    x = 549.71

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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.