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Finding the Fourth Proportional to 894.29, 1,234.14 and 501.32

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Solution

The fourth proportional to 894.29, 1,234.14 and 501.32 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.29 : 1,234.14 = 501.32 : x
  2. Step 2: Convert to fraction form
    894.29/1,234.14 = 501.32/x
  3. Step 3: Cross multiply
    894.29x = 1,234.14 × 501.32
  4. Step 4: Simplify right side
    894.29x = 618,692.89
  5. Step 5: Solve for x
    x = 618,692.89/894.29
  6. Step 6: Final answer
    x = 691.82

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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.