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Finding the Fourth Proportional to 739.02, 1,019.79 and 428.54

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Solution

The fourth proportional to 739.02, 1,019.79 and 428.54 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,019.79 = 428.54 : x
  2. Step 2: Convert to fraction form
    739.02/1,019.79 = 428.54/x
  3. Step 3: Cross multiply
    739.02x = 1,019.79 × 428.54
  4. Step 4: Simplify right side
    739.02x = 437,020.81
  5. Step 5: Solve for x
    x = 437,020.81/739.02
  6. Step 6: Final answer
    x = 591.35

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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.