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Finding the Fourth Proportional to 894.37, 1,234.23 and 501.40

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Solution

The fourth proportional to 894.37, 1,234.23 and 501.40 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.37 : 1,234.23 = 501.40 : x
  2. Step 2: Convert to fraction form
    894.37/1,234.23 = 501.40/x
  3. Step 3: Cross multiply
    894.37x = 1,234.23 × 501.40
  4. Step 4: Simplify right side
    894.37x = 618,842.92
  5. Step 5: Solve for x
    x = 618,842.92/894.37
  6. Step 6: Final answer
    x = 691.93

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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.