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Finding the Fourth Proportional to 895.33, 1,236.74 and 746.44

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Solution

The fourth proportional to 895.33, 1,236.74 and 746.44 is: 1,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.33 : 1,236.74 = 746.44 : x
  2. Step 2: Convert to fraction form
    895.33/1,236.74 = 746.44/x
  3. Step 3: Cross multiply
    895.33x = 1,236.74 × 746.44
  4. Step 4: Simplify right side
    895.33x = 923,152.21
  5. Step 5: Solve for x
    x = 923,152.21/895.33
  6. Step 6: Final answer
    x = 1,031.07

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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.