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Finding the Fourth Proportional to 728.71, 1,005.96 and 466.87

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Solution

The fourth proportional to 728.71, 1,005.96 and 466.87 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.71 : 1,005.96 = 466.87 : x
  2. Step 2: Convert to fraction form
    728.71/1,005.96 = 466.87/x
  3. Step 3: Cross multiply
    728.71x = 1,005.96 × 466.87
  4. Step 4: Simplify right side
    728.71x = 469,652.55
  5. Step 5: Solve for x
    x = 469,652.55/728.71
  6. Step 6: Final answer
    x = 644.50

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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.