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Finding the Fourth Proportional to 794.46, 1,182.08 and 774.62

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Solution

The fourth proportional to 794.46, 1,182.08 and 774.62 is: 1,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.46 : 1,182.08 = 774.62 : x
  2. Step 2: Convert to fraction form
    794.46/1,182.08 = 774.62/x
  3. Step 3: Cross multiply
    794.46x = 1,182.08 × 774.62
  4. Step 4: Simplify right side
    794.46x = 915,658.94
  5. Step 5: Solve for x
    x = 915,658.94/794.46
  6. Step 6: Final answer
    x = 1,152.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.