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Finding the Fourth Proportional to 895.41, 1,236.20 and 580.77

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Solution

The fourth proportional to 895.41, 1,236.20 and 580.77 is: 801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.41 : 1,236.20 = 580.77 : x
  2. Step 2: Convert to fraction form
    895.41/1,236.20 = 580.77/x
  3. Step 3: Cross multiply
    895.41x = 1,236.20 × 580.77
  4. Step 4: Simplify right side
    895.41x = 717,944.97
  5. Step 5: Solve for x
    x = 717,944.97/895.41
  6. Step 6: Final answer
    x = 801.81

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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.