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Finding the Fourth Proportional to 711.27, 981.72 and 514.44

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Solution

The fourth proportional to 711.27, 981.72 and 514.44 is: 710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.27 : 981.72 = 514.44 : x
  2. Step 2: Convert to fraction form
    711.27/981.72 = 514.44/x
  3. Step 3: Cross multiply
    711.27x = 981.72 × 514.44
  4. Step 4: Simplify right side
    711.27x = 505,036.04
  5. Step 5: Solve for x
    x = 505,036.04/711.27
  6. Step 6: Final answer
    x = 710.05

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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.