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Finding the Fourth Proportional to 739.65, 1,020.81 and 445.08

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Solution

The fourth proportional to 739.65, 1,020.81 and 445.08 is: 614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.65 : 1,020.81 = 445.08 : x
  2. Step 2: Convert to fraction form
    739.65/1,020.81 = 445.08/x
  3. Step 3: Cross multiply
    739.65x = 1,020.81 × 445.08
  4. Step 4: Simplify right side
    739.65x = 454,342.11
  5. Step 5: Solve for x
    x = 454,342.11/739.65
  6. Step 6: Final answer
    x = 614.27

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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.