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Finding the Fourth Proportional to 559.01, 769.88 and 546.91

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Solution

The fourth proportional to 559.01, 769.88 and 546.91 is: 753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.01 : 769.88 = 546.91 : x
  2. Step 2: Convert to fraction form
    559.01/769.88 = 546.91/x
  3. Step 3: Cross multiply
    559.01x = 769.88 × 546.91
  4. Step 4: Simplify right side
    559.01x = 421,051.44
  5. Step 5: Solve for x
    x = 421,051.44/559.01
  6. Step 6: Final answer
    x = 753.21

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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.