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Finding the Fourth Proportional to 744.46, 1,027.32 and 412.88

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Solution

The fourth proportional to 744.46, 1,027.32 and 412.88 is: 569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.46 : 1,027.32 = 412.88 : x
  2. Step 2: Convert to fraction form
    744.46/1,027.32 = 412.88/x
  3. Step 3: Cross multiply
    744.46x = 1,027.32 × 412.88
  4. Step 4: Simplify right side
    744.46x = 424,162.65
  5. Step 5: Solve for x
    x = 424,162.65/744.46
  6. Step 6: Final answer
    x = 569.76

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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.