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Finding the Fourth Proportional to 711.03, 981 and 431.16

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Solution

The fourth proportional to 711.03, 981 and 431.16 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.03 : 981 = 431.16 : x
  2. Step 2: Convert to fraction form
    711.03/981 = 431.16/x
  3. Step 3: Cross multiply
    711.03x = 981 × 431.16
  4. Step 4: Simplify right side
    711.03x = 422,967.96
  5. Step 5: Solve for x
    x = 422,967.96/711.03
  6. Step 6: Final answer
    x = 594.87

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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.