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Finding the Fourth Proportional to 599.40, 826.56 and 585.99

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Solution

The fourth proportional to 599.40, 826.56 and 585.99 is: 808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 826.56 = 585.99 : x
  2. Step 2: Convert to fraction form
    599.40/826.56 = 585.99/x
  3. Step 3: Cross multiply
    599.40x = 826.56 × 585.99
  4. Step 4: Simplify right side
    599.40x = 484,355.89
  5. Step 5: Solve for x
    x = 484,355.89/599.40
  6. Step 6: Final answer
    x = 808.07

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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.