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Finding the Fourth Proportional to 739.57, 1,013.21 and 711.88

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Solution

The fourth proportional to 739.57, 1,013.21 and 711.88 is: 975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.57 : 1,013.21 = 711.88 : x
  2. Step 2: Convert to fraction form
    739.57/1,013.21 = 711.88/x
  3. Step 3: Cross multiply
    739.57x = 1,013.21 × 711.88
  4. Step 4: Simplify right side
    739.57x = 721,283.93
  5. Step 5: Solve for x
    x = 721,283.93/739.57
  6. Step 6: Final answer
    x = 975.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.