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Finding the Fourth Proportional to 585.18, 796.73 and 583.35

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Solution

The fourth proportional to 585.18, 796.73 and 583.35 is: 794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.18 : 796.73 = 583.35 : x
  2. Step 2: Convert to fraction form
    585.18/796.73 = 583.35/x
  3. Step 3: Cross multiply
    585.18x = 796.73 × 583.35
  4. Step 4: Simplify right side
    585.18x = 464,769.53
  5. Step 5: Solve for x
    x = 464,769.53/585.18
  6. Step 6: Final answer
    x = 794.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.