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Finding the Fourth Proportional to 896.58, 1,237.14 and 523.65

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Solution

The fourth proportional to 896.58, 1,237.14 and 523.65 is: 722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.58 : 1,237.14 = 523.65 : x
  2. Step 2: Convert to fraction form
    896.58/1,237.14 = 523.65/x
  3. Step 3: Cross multiply
    896.58x = 1,237.14 × 523.65
  4. Step 4: Simplify right side
    896.58x = 647,828.36
  5. Step 5: Solve for x
    x = 647,828.36/896.58
  6. Step 6: Final answer
    x = 722.55

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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.