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Finding the Fourth Proportional to 895.89, 1,236.40 and 522.85

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Solution

The fourth proportional to 895.89, 1,236.40 and 522.85 is: 721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.89 : 1,236.40 = 522.85 : x
  2. Step 2: Convert to fraction form
    895.89/1,236.40 = 522.85/x
  3. Step 3: Cross multiply
    895.89x = 1,236.40 × 522.85
  4. Step 4: Simplify right side
    895.89x = 646,447.34
  5. Step 5: Solve for x
    x = 646,447.34/895.89
  6. Step 6: Final answer
    x = 721.57

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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.