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Finding the Fourth Proportional to 728.34, 1,005.75 and 466.80

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Solution

The fourth proportional to 728.34, 1,005.75 and 466.80 is: 644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.34 : 1,005.75 = 466.80 : x
  2. Step 2: Convert to fraction form
    728.34/1,005.75 = 466.80/x
  3. Step 3: Cross multiply
    728.34x = 1,005.75 × 466.80
  4. Step 4: Simplify right side
    728.34x = 469,484.10
  5. Step 5: Solve for x
    x = 469,484.10/728.34
  6. Step 6: Final answer
    x = 644.59

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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.