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Finding the Fourth Proportional to 894.36, 1,342.50 and 713.88

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Solution

The fourth proportional to 894.36, 1,342.50 and 713.88 is: 1,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.36 : 1,342.50 = 713.88 : x
  2. Step 2: Convert to fraction form
    894.36/1,342.50 = 713.88/x
  3. Step 3: Cross multiply
    894.36x = 1,342.50 × 713.88
  4. Step 4: Simplify right side
    894.36x = 958,383.90
  5. Step 5: Solve for x
    x = 958,383.90/894.36
  6. Step 6: Final answer
    x = 1,071.59

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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.