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Finding the Fourth Proportional to 599.54, 825.37 and 525.74

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Solution

The fourth proportional to 599.54, 825.37 and 525.74 is: 723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.54 : 825.37 = 525.74 : x
  2. Step 2: Convert to fraction form
    599.54/825.37 = 525.74/x
  3. Step 3: Cross multiply
    599.54x = 825.37 × 525.74
  4. Step 4: Simplify right side
    599.54x = 433,924.58
  5. Step 5: Solve for x
    x = 433,924.58/599.54
  6. Step 6: Final answer
    x = 723.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.