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Finding the Fourth Proportional to 744.53, 1,027.69 and 434.09

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Solution

The fourth proportional to 744.53, 1,027.69 and 434.09 is: 599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.53 : 1,027.69 = 434.09 : x
  2. Step 2: Convert to fraction form
    744.53/1,027.69 = 434.09/x
  3. Step 3: Cross multiply
    744.53x = 1,027.69 × 434.09
  4. Step 4: Simplify right side
    744.53x = 446,113.61
  5. Step 5: Solve for x
    x = 446,113.61/744.53
  6. Step 6: Final answer
    x = 599.19

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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.