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Finding the Fourth Proportional to 895.76, 1,233.94 and 762.55

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Solution

The fourth proportional to 895.76, 1,233.94 and 762.55 is: 1,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.76 : 1,233.94 = 762.55 : x
  2. Step 2: Convert to fraction form
    895.76/1,233.94 = 762.55/x
  3. Step 3: Cross multiply
    895.76x = 1,233.94 × 762.55
  4. Step 4: Simplify right side
    895.76x = 940,940.95
  5. Step 5: Solve for x
    x = 940,940.95/895.76
  6. Step 6: Final answer
    x = 1,050.44

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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.