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Finding the Fourth Proportional to 895.87, 1,236.45 and 523.07

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Solution

The fourth proportional to 895.87, 1,236.45 and 523.07 is: 721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.87 : 1,236.45 = 523.07 : x
  2. Step 2: Convert to fraction form
    895.87/1,236.45 = 523.07/x
  3. Step 3: Cross multiply
    895.87x = 1,236.45 × 523.07
  4. Step 4: Simplify right side
    895.87x = 646,749.90
  5. Step 5: Solve for x
    x = 646,749.90/895.87
  6. Step 6: Final answer
    x = 721.92

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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.