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Finding the Fourth Proportional to 894.63, 1,234.10 and 562.94

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Solution

The fourth proportional to 894.63, 1,234.10 and 562.94 is: 776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.63 : 1,234.10 = 562.94 : x
  2. Step 2: Convert to fraction form
    894.63/1,234.10 = 562.94/x
  3. Step 3: Cross multiply
    894.63x = 1,234.10 × 562.94
  4. Step 4: Simplify right side
    894.63x = 694,724.25
  5. Step 5: Solve for x
    x = 694,724.25/894.63
  6. Step 6: Final answer
    x = 776.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.