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Finding the Fourth Proportional to 711.09, 981.23 and 400.59

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Solution

The fourth proportional to 711.09, 981.23 and 400.59 is: 552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.09 : 981.23 = 400.59 : x
  2. Step 2: Convert to fraction form
    711.09/981.23 = 400.59/x
  3. Step 3: Cross multiply
    711.09x = 981.23 × 400.59
  4. Step 4: Simplify right side
    711.09x = 393,068.92
  5. Step 5: Solve for x
    x = 393,068.92/711.09
  6. Step 6: Final answer
    x = 552.77

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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.