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Finding the Fourth Proportional to 896.40, 1,237.14 and 564.84

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Solution

The fourth proportional to 896.40, 1,237.14 and 564.84 is: 779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.40 : 1,237.14 = 564.84 : x
  2. Step 2: Convert to fraction form
    896.40/1,237.14 = 564.84/x
  3. Step 3: Cross multiply
    896.40x = 1,237.14 × 564.84
  4. Step 4: Simplify right side
    896.40x = 698,786.16
  5. Step 5: Solve for x
    x = 698,786.16/896.40
  6. Step 6: Final answer
    x = 779.55

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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.