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Finding the Fourth Proportional to 599.13, 828.12 and 546.48

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Solution

The fourth proportional to 599.13, 828.12 and 546.48 is: 755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.13 : 828.12 = 546.48 : x
  2. Step 2: Convert to fraction form
    599.13/828.12 = 546.48/x
  3. Step 3: Cross multiply
    599.13x = 828.12 × 546.48
  4. Step 4: Simplify right side
    599.13x = 452,551.02
  5. Step 5: Solve for x
    x = 452,551.02/599.13
  6. Step 6: Final answer
    x = 755.35

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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.