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Finding the Fourth Proportional to 744.44, 1,027.32 and 412.86

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Solution

The fourth proportional to 744.44, 1,027.32 and 412.86 is: 569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.44 : 1,027.32 = 412.86 : x
  2. Step 2: Convert to fraction form
    744.44/1,027.32 = 412.86/x
  3. Step 3: Cross multiply
    744.44x = 1,027.32 × 412.86
  4. Step 4: Simplify right side
    744.44x = 424,140.19
  5. Step 5: Solve for x
    x = 424,140.19/744.44
  6. Step 6: Final answer
    x = 569.74

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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.