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Finding the Fourth Proportional to 895.91, 1,236.24 and 522.96

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Solution

The fourth proportional to 895.91, 1,236.24 and 522.96 is: 721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.91 : 1,236.24 = 522.96 : x
  2. Step 2: Convert to fraction form
    895.91/1,236.24 = 522.96/x
  3. Step 3: Cross multiply
    895.91x = 1,236.24 × 522.96
  4. Step 4: Simplify right side
    895.91x = 646,504.07
  5. Step 5: Solve for x
    x = 646,504.07/895.91
  6. Step 6: Final answer
    x = 721.62

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Why These Related Problems?

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