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Finding the Fourth Proportional to 1,177.17, 1,620.77 and 896.50

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Solution

The fourth proportional to 1,177.17, 1,620.77 and 896.50 is: 1,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.17 : 1,620.77 = 896.50 : x
  2. Step 2: Convert to fraction form
    1,177.17/1,620.77 = 896.50/x
  3. Step 3: Cross multiply
    1,177.17x = 1,620.77 × 896.50
  4. Step 4: Simplify right side
    1,177.17x = 1,453,020.31
  5. Step 5: Solve for x
    x = 1,453,020.31/1,177.17
  6. Step 6: Final answer
    x = 1,234.33

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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.