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Finding the Fourth Proportional to 895.56, 1,234.35 and 682.80

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Solution

The fourth proportional to 895.56, 1,234.35 and 682.80 is: 941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.56 : 1,234.35 = 682.80 : x
  2. Step 2: Convert to fraction form
    895.56/1,234.35 = 682.80/x
  3. Step 3: Cross multiply
    895.56x = 1,234.35 × 682.80
  4. Step 4: Simplify right side
    895.56x = 842,814.18
  5. Step 5: Solve for x
    x = 842,814.18/895.56
  6. Step 6: Final answer
    x = 941.10

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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.