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Finding the Fourth Proportional to 727.66, 1,004.20 and 417.22

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Solution

The fourth proportional to 727.66, 1,004.20 and 417.22 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.66 : 1,004.20 = 417.22 : x
  2. Step 2: Convert to fraction form
    727.66/1,004.20 = 417.22/x
  3. Step 3: Cross multiply
    727.66x = 1,004.20 × 417.22
  4. Step 4: Simplify right side
    727.66x = 418,970.24
  5. Step 5: Solve for x
    x = 418,970.24/727.66
  6. Step 6: Final answer
    x = 575.78

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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.