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Finding the Fourth Proportional to 896.81, 1,237.88 and 565.04

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Solution

The fourth proportional to 896.81, 1,237.88 and 565.04 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.81 : 1,237.88 = 565.04 : x
  2. Step 2: Convert to fraction form
    896.81/1,237.88 = 565.04/x
  3. Step 3: Cross multiply
    896.81x = 1,237.88 × 565.04
  4. Step 4: Simplify right side
    896.81x = 699,456.22
  5. Step 5: Solve for x
    x = 699,456.22/896.81
  6. Step 6: Final answer
    x = 779.94

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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.