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Finding the Fourth Proportional to 725.07, 1,000.68 and 476.59

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Solution

The fourth proportional to 725.07, 1,000.68 and 476.59 is: 657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.07 : 1,000.68 = 476.59 : x
  2. Step 2: Convert to fraction form
    725.07/1,000.68 = 476.59/x
  3. Step 3: Cross multiply
    725.07x = 1,000.68 × 476.59
  4. Step 4: Simplify right side
    725.07x = 476,914.08
  5. Step 5: Solve for x
    x = 476,914.08/725.07
  6. Step 6: Final answer
    x = 657.75

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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.