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Finding the Fourth Proportional to 894.74, 1,234.62 and 521.66

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Solution

The fourth proportional to 894.74, 1,234.62 and 521.66 is: 719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.74 : 1,234.62 = 521.66 : x
  2. Step 2: Convert to fraction form
    894.74/1,234.62 = 521.66/x
  3. Step 3: Cross multiply
    894.74x = 1,234.62 × 521.66
  4. Step 4: Simplify right side
    894.74x = 644,051.87
  5. Step 5: Solve for x
    x = 644,051.87/894.74
  6. Step 6: Final answer
    x = 719.82

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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.