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Finding the Fourth Proportional to 894.46, 1,234.31 and 501.46

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Solution

The fourth proportional to 894.46, 1,234.31 and 501.46 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.46 : 1,234.31 = 501.46 : x
  2. Step 2: Convert to fraction form
    894.46/1,234.31 = 501.46/x
  3. Step 3: Cross multiply
    894.46x = 1,234.31 × 501.46
  4. Step 4: Simplify right side
    894.46x = 618,948.41
  5. Step 5: Solve for x
    x = 618,948.41/894.46
  6. Step 6: Final answer
    x = 691.98

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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.