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Finding the Fourth Proportional to 894, 1,342.50 and 826.65

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Solution

The fourth proportional to 894, 1,342.50 and 826.65 is: 1,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    894 : 1,342.50 = 826.65 : x
  2. Step 2: Convert to fraction form
    894/1,342.50 = 826.65/x
  3. Step 3: Cross multiply
    894x = 1,342.50 × 826.65
  4. Step 4: Simplify right side
    894x = 1,109,777.63
  5. Step 5: Solve for x
    x = 1,109,777.63/894
  6. Step 6: Final answer
    x = 1,241.36

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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.