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Finding the Fourth Proportional to 588.94, 806.34 and 586.87

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Solution

The fourth proportional to 588.94, 806.34 and 586.87 is: 803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 806.34 = 586.87 : x
  2. Step 2: Convert to fraction form
    588.94/806.34 = 586.87/x
  3. Step 3: Cross multiply
    588.94x = 806.34 × 586.87
  4. Step 4: Simplify right side
    588.94x = 473,216.76
  5. Step 5: Solve for x
    x = 473,216.76/588.94
  6. Step 6: Final answer
    x = 803.51

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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.