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Finding the Fourth Proportional to 709.56, 981.72 and 578.34

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Solution

The fourth proportional to 709.56, 981.72 and 578.34 is: 800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 981.72 = 578.34 : x
  2. Step 2: Convert to fraction form
    709.56/981.72 = 578.34/x
  3. Step 3: Cross multiply
    709.56x = 981.72 × 578.34
  4. Step 4: Simplify right side
    709.56x = 567,767.94
  5. Step 5: Solve for x
    x = 567,767.94/709.56
  6. Step 6: Final answer
    x = 800.17

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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.