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Finding the Fourth Proportional to 711.43, 981.74 and 412.63

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Solution

The fourth proportional to 711.43, 981.74 and 412.63 is: 569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.43 : 981.74 = 412.63 : x
  2. Step 2: Convert to fraction form
    711.43/981.74 = 412.63/x
  3. Step 3: Cross multiply
    711.43x = 981.74 × 412.63
  4. Step 4: Simplify right side
    711.43x = 405,088.40
  5. Step 5: Solve for x
    x = 405,088.40/711.43
  6. Step 6: Final answer
    x = 569.40

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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.