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Finding the Fourth Proportional to 599.80, 828.84 and 540.76

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Solution

The fourth proportional to 599.80, 828.84 and 540.76 is: 747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 828.84 = 540.76 : x
  2. Step 2: Convert to fraction form
    599.80/828.84 = 540.76/x
  3. Step 3: Cross multiply
    599.80x = 828.84 × 540.76
  4. Step 4: Simplify right side
    599.80x = 448,203.52
  5. Step 5: Solve for x
    x = 448,203.52/599.80
  6. Step 6: Final answer
    x = 747.25

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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.