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Finding the Fourth Proportional to 894.76, 1,342.14 and 346.96

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Solution

The fourth proportional to 894.76, 1,342.14 and 346.96 is: 520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.76 : 1,342.14 = 346.96 : x
  2. Step 2: Convert to fraction form
    894.76/1,342.14 = 346.96/x
  3. Step 3: Cross multiply
    894.76x = 1,342.14 × 346.96
  4. Step 4: Simplify right side
    894.76x = 465,668.89
  5. Step 5: Solve for x
    x = 465,668.89/894.76
  6. Step 6: Final answer
    x = 520.44

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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.