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Finding the Fourth Proportional to 728.06, 1,004.36 and 462.83

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Solution

The fourth proportional to 728.06, 1,004.36 and 462.83 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.06 : 1,004.36 = 462.83 : x
  2. Step 2: Convert to fraction form
    728.06/1,004.36 = 462.83/x
  3. Step 3: Cross multiply
    728.06x = 1,004.36 × 462.83
  4. Step 4: Simplify right side
    728.06x = 464,840.60
  5. Step 5: Solve for x
    x = 464,840.60/728.06
  6. Step 6: Final answer
    x = 638.47

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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.