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Finding the Fourth Proportional to 725.10, 1,000.64 and 559

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Solution

The fourth proportional to 725.10, 1,000.64 and 559 is: 771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,000.64 = 559 : x
  2. Step 2: Convert to fraction form
    725.10/1,000.64 = 559/x
  3. Step 3: Cross multiply
    725.10x = 1,000.64 × 559
  4. Step 4: Simplify right side
    725.10x = 559,357.76
  5. Step 5: Solve for x
    x = 559,357.76/725.10
  6. Step 6: Final answer
    x = 771.42

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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.