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Finding the Fourth Proportional to 898.82, 1,237.65 and 767.54

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Solution

The fourth proportional to 898.82, 1,237.65 and 767.54 is: 1,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.82 : 1,237.65 = 767.54 : x
  2. Step 2: Convert to fraction form
    898.82/1,237.65 = 767.54/x
  3. Step 3: Cross multiply
    898.82x = 1,237.65 × 767.54
  4. Step 4: Simplify right side
    898.82x = 949,945.88
  5. Step 5: Solve for x
    x = 949,945.88/898.82
  6. Step 6: Final answer
    x = 1,056.88

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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.