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Finding the Fourth Proportional to 739.84, 1,020.52 and 445.04

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Solution

The fourth proportional to 739.84, 1,020.52 and 445.04 is: 613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.84 : 1,020.52 = 445.04 : x
  2. Step 2: Convert to fraction form
    739.84/1,020.52 = 445.04/x
  3. Step 3: Cross multiply
    739.84x = 1,020.52 × 445.04
  4. Step 4: Simplify right side
    739.84x = 454,172.22
  5. Step 5: Solve for x
    x = 454,172.22/739.84
  6. Step 6: Final answer
    x = 613.88

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1.5x scale

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.