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Finding the Fourth Proportional to 851.54, 1,176 and 733.28

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Solution

The fourth proportional to 851.54, 1,176 and 733.28 is: 1,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.54 : 1,176 = 733.28 : x
  2. Step 2: Convert to fraction form
    851.54/1,176 = 733.28/x
  3. Step 3: Cross multiply
    851.54x = 1,176 × 733.28
  4. Step 4: Simplify right side
    851.54x = 862,337.28
  5. Step 5: Solve for x
    x = 862,337.28/851.54
  6. Step 6: Final answer
    x = 1,012.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.