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Finding the Fourth Proportional to 728.54, 1,006.38 and 533.14

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Solution

The fourth proportional to 728.54, 1,006.38 and 533.14 is: 736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.54 : 1,006.38 = 533.14 : x
  2. Step 2: Convert to fraction form
    728.54/1,006.38 = 533.14/x
  3. Step 3: Cross multiply
    728.54x = 1,006.38 × 533.14
  4. Step 4: Simplify right side
    728.54x = 536,541.43
  5. Step 5: Solve for x
    x = 536,541.43/728.54
  6. Step 6: Final answer
    x = 736.46

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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.