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Finding the Fourth Proportional to 894.94, 1,235.56 and 709.18

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Solution

The fourth proportional to 894.94, 1,235.56 and 709.18 is: 979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.94 : 1,235.56 = 709.18 : x
  2. Step 2: Convert to fraction form
    894.94/1,235.56 = 709.18/x
  3. Step 3: Cross multiply
    894.94x = 1,235.56 × 709.18
  4. Step 4: Simplify right side
    894.94x = 876,234.44
  5. Step 5: Solve for x
    x = 876,234.44/894.94
  6. Step 6: Final answer
    x = 979.10

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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.