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Finding the Fourth Proportional to 894.32, 1,234.42 and 562.74

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Solution

The fourth proportional to 894.32, 1,234.42 and 562.74 is: 776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.32 : 1,234.42 = 562.74 : x
  2. Step 2: Convert to fraction form
    894.32/1,234.42 = 562.74/x
  3. Step 3: Cross multiply
    894.32x = 1,234.42 × 562.74
  4. Step 4: Simplify right side
    894.32x = 694,657.51
  5. Step 5: Solve for x
    x = 694,657.51/894.32
  6. Step 6: Final answer
    x = 776.74

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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.