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Finding the Fourth Proportional to 725.69, 1,000.77 and 559.64

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Solution

The fourth proportional to 725.69, 1,000.77 and 559.64 is: 771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.69 : 1,000.77 = 559.64 : x
  2. Step 2: Convert to fraction form
    725.69/1,000.77 = 559.64/x
  3. Step 3: Cross multiply
    725.69x = 1,000.77 × 559.64
  4. Step 4: Simplify right side
    725.69x = 560,070.92
  5. Step 5: Solve for x
    x = 560,070.92/725.69
  6. Step 6: Final answer
    x = 771.78

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1.5x scale

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.