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Finding the Fourth Proportional to 744.79, 1,028.04 and 434.35

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Solution

The fourth proportional to 744.79, 1,028.04 and 434.35 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.79 : 1,028.04 = 434.35 : x
  2. Step 2: Convert to fraction form
    744.79/1,028.04 = 434.35/x
  3. Step 3: Cross multiply
    744.79x = 1,028.04 × 434.35
  4. Step 4: Simplify right side
    744.79x = 446,524.03
  5. Step 5: Solve for x
    x = 446,524.03/744.79
  6. Step 6: Final answer
    x = 599.53

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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.