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Finding the Fourth Proportional to 599.95, 826.27 and 517.02

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Solution

The fourth proportional to 599.95, 826.27 and 517.02 is: 712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.95 : 826.27 = 517.02 : x
  2. Step 2: Convert to fraction form
    599.95/826.27 = 517.02/x
  3. Step 3: Cross multiply
    599.95x = 826.27 × 517.02
  4. Step 4: Simplify right side
    599.95x = 427,200.18
  5. Step 5: Solve for x
    x = 427,200.18/599.95
  6. Step 6: Final answer
    x = 712.06

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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.