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Finding the Fourth Proportional to 728.16, 1,004.86 and 417.66

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Solution

The fourth proportional to 728.16, 1,004.86 and 417.66 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.16 : 1,004.86 = 417.66 : x
  2. Step 2: Convert to fraction form
    728.16/1,004.86 = 417.66/x
  3. Step 3: Cross multiply
    728.16x = 1,004.86 × 417.66
  4. Step 4: Simplify right side
    728.16x = 419,684.23
  5. Step 5: Solve for x
    x = 419,684.23/728.16
  6. Step 6: Final answer
    x = 576.37

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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.