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Finding the Fourth Proportional to 711.37, 981.57 and 412.62

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Solution

The fourth proportional to 711.37, 981.57 and 412.62 is: 569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.37 : 981.57 = 412.62 : x
  2. Step 2: Convert to fraction form
    711.37/981.57 = 412.62/x
  3. Step 3: Cross multiply
    711.37x = 981.57 × 412.62
  4. Step 4: Simplify right side
    711.37x = 405,015.41
  5. Step 5: Solve for x
    x = 405,015.41/711.37
  6. Step 6: Final answer
    x = 569.35

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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.