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Finding the Fourth Proportional to 711.38, 975.44 and 641.16

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Solution

The fourth proportional to 711.38, 975.44 and 641.16 is: 879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 975.44 = 641.16 : x
  2. Step 2: Convert to fraction form
    711.38/975.44 = 641.16/x
  3. Step 3: Cross multiply
    711.38x = 975.44 × 641.16
  4. Step 4: Simplify right side
    711.38x = 625,414.71
  5. Step 5: Solve for x
    x = 625,414.71/711.38
  6. Step 6: Final answer
    x = 879.15

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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.