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Finding the Fourth Proportional to 548.07, 820.58 and 505.02

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Solution

The fourth proportional to 548.07, 820.58 and 505.02 is: 756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.07 : 820.58 = 505.02 : x
  2. Step 2: Convert to fraction form
    548.07/820.58 = 505.02/x
  3. Step 3: Cross multiply
    548.07x = 820.58 × 505.02
  4. Step 4: Simplify right side
    548.07x = 414,406.79
  5. Step 5: Solve for x
    x = 414,406.79/548.07
  6. Step 6: Final answer
    x = 756.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.