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Finding the Fourth Proportional to 588.69, 806.00 and 586.62

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Solution

The fourth proportional to 588.69, 806.00 and 586.62 is: 803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.69 : 806.00 = 586.62 : x
  2. Step 2: Convert to fraction form
    588.69/806.00 = 586.62/x
  3. Step 3: Cross multiply
    588.69x = 806.00 × 586.62
  4. Step 4: Simplify right side
    588.69x = 472,817.19
  5. Step 5: Solve for x
    x = 472,817.19/588.69
  6. Step 6: Final answer
    x = 803.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.