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Finding the Fourth Proportional to 727.88, 1,004.47 and 417.38

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Solution

The fourth proportional to 727.88, 1,004.47 and 417.38 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.88 : 1,004.47 = 417.38 : x
  2. Step 2: Convert to fraction form
    727.88/1,004.47 = 417.38/x
  3. Step 3: Cross multiply
    727.88x = 1,004.47 × 417.38
  4. Step 4: Simplify right side
    727.88x = 419,245.69
  5. Step 5: Solve for x
    x = 419,245.69/727.88
  6. Step 6: Final answer
    x = 575.98

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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.