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Finding the Fourth Proportional to 711.21, 981.56 and 512.00

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Solution

The fourth proportional to 711.21, 981.56 and 512.00 is: 706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.21 : 981.56 = 512.00 : x
  2. Step 2: Convert to fraction form
    711.21/981.56 = 512.00/x
  3. Step 3: Cross multiply
    711.21x = 981.56 × 512.00
  4. Step 4: Simplify right side
    711.21x = 502,551.25
  5. Step 5: Solve for x
    x = 502,551.25/711.21
  6. Step 6: Final answer
    x = 706.61

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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.