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Finding the Fourth Proportional to 895.93, 1,236.47 and 523.09

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Solution

The fourth proportional to 895.93, 1,236.47 and 523.09 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.93 : 1,236.47 = 523.09 : x
  2. Step 2: Convert to fraction form
    895.93/1,236.47 = 523.09/x
  3. Step 3: Cross multiply
    895.93x = 1,236.47 × 523.09
  4. Step 4: Simplify right side
    895.93x = 646,782.48
  5. Step 5: Solve for x
    x = 646,782.48/895.93
  6. Step 6: Final answer
    x = 721.91

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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.