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Finding the Fourth Proportional to 894.43, 1,234.04 and 521.35

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Solution

The fourth proportional to 894.43, 1,234.04 and 521.35 is: 719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.43 : 1,234.04 = 521.35 : x
  2. Step 2: Convert to fraction form
    894.43/1,234.04 = 521.35/x
  3. Step 3: Cross multiply
    894.43x = 1,234.04 × 521.35
  4. Step 4: Simplify right side
    894.43x = 643,366.75
  5. Step 5: Solve for x
    x = 643,366.75/894.43
  6. Step 6: Final answer
    x = 719.30

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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.