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Finding the Fourth Proportional to 895.92, 1,236.30 and 546.60

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Solution

The fourth proportional to 895.92, 1,236.30 and 546.60 is: 754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.92 : 1,236.30 = 546.60 : x
  2. Step 2: Convert to fraction form
    895.92/1,236.30 = 546.60/x
  3. Step 3: Cross multiply
    895.92x = 1,236.30 × 546.60
  4. Step 4: Simplify right side
    895.92x = 675,761.58
  5. Step 5: Solve for x
    x = 675,761.58/895.92
  6. Step 6: Final answer
    x = 754.27

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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.