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Finding the Fourth Proportional to 728.53, 1,004.87 and 466.43

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Solution

The fourth proportional to 728.53, 1,004.87 and 466.43 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.53 : 1,004.87 = 466.43 : x
  2. Step 2: Convert to fraction form
    728.53/1,004.87 = 466.43/x
  3. Step 3: Cross multiply
    728.53x = 1,004.87 × 466.43
  4. Step 4: Simplify right side
    728.53x = 468,697.66
  5. Step 5: Solve for x
    x = 468,697.66/728.53
  6. Step 6: Final answer
    x = 643.35

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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.