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Finding the Fourth Proportional to 557.70, 836.82 and 546.63

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Solution

The fourth proportional to 557.70, 836.82 and 546.63 is: 820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 836.82 = 546.63 : x
  2. Step 2: Convert to fraction form
    557.70/836.82 = 546.63/x
  3. Step 3: Cross multiply
    557.70x = 836.82 × 546.63
  4. Step 4: Simplify right side
    557.70x = 457,430.92
  5. Step 5: Solve for x
    x = 457,430.92/557.70
  6. Step 6: Final answer
    x = 820.21

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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.