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Finding the Fourth Proportional to 896, 1,237.24 and 564.98

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Solution

The fourth proportional to 896, 1,237.24 and 564.98 is: 780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    896 : 1,237.24 = 564.98 : x
  2. Step 2: Convert to fraction form
    896/1,237.24 = 564.98/x
  3. Step 3: Cross multiply
    896x = 1,237.24 × 564.98
  4. Step 4: Simplify right side
    896x = 699,015.86
  5. Step 5: Solve for x
    x = 699,015.86/896
  6. Step 6: Final answer
    x = 780.15

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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.