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Finding the Fourth Proportional to 867.25, 1,300.88 and 736.94

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Solution

The fourth proportional to 867.25, 1,300.88 and 736.94 is: 1,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.25 : 1,300.88 = 736.94 : x
  2. Step 2: Convert to fraction form
    867.25/1,300.88 = 736.94/x
  3. Step 3: Cross multiply
    867.25x = 1,300.88 × 736.94
  4. Step 4: Simplify right side
    867.25x = 958,672.10
  5. Step 5: Solve for x
    x = 958,672.10/867.25
  6. Step 6: Final answer
    x = 1,105.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.