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Finding the Fourth Proportional to 896.09, 1,235.60 and 564.11

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Solution

The fourth proportional to 896.09, 1,235.60 and 564.11 is: 777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.09 : 1,235.60 = 564.11 : x
  2. Step 2: Convert to fraction form
    896.09/1,235.60 = 564.11/x
  3. Step 3: Cross multiply
    896.09x = 1,235.60 × 564.11
  4. Step 4: Simplify right side
    896.09x = 697,014.32
  5. Step 5: Solve for x
    x = 697,014.32/896.09
  6. Step 6: Final answer
    x = 777.84

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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.