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Finding the Fourth Proportional to 895.88, 1,236.44 and 546.77

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Solution

The fourth proportional to 895.88, 1,236.44 and 546.77 is: 754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.88 : 1,236.44 = 546.77 : x
  2. Step 2: Convert to fraction form
    895.88/1,236.44 = 546.77/x
  3. Step 3: Cross multiply
    895.88x = 1,236.44 × 546.77
  4. Step 4: Simplify right side
    895.88x = 676,043.48
  5. Step 5: Solve for x
    x = 676,043.48/895.88
  6. Step 6: Final answer
    x = 754.62

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