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Finding the Fourth Proportional to 728.50, 1,093.44 and 455.14

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Solution

The fourth proportional to 728.50, 1,093.44 and 455.14 is: 683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.50 : 1,093.44 = 455.14 : x
  2. Step 2: Convert to fraction form
    728.50/1,093.44 = 455.14/x
  3. Step 3: Cross multiply
    728.50x = 1,093.44 × 455.14
  4. Step 4: Simplify right side
    728.50x = 497,668.28
  5. Step 5: Solve for x
    x = 497,668.28/728.50
  6. Step 6: Final answer
    x = 683.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.