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Finding the Fourth Proportional to 747.36, 1,122.72 and 455.64

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Solution

The fourth proportional to 747.36, 1,122.72 and 455.64 is: 684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.36 : 1,122.72 = 455.64 : x
  2. Step 2: Convert to fraction form
    747.36/1,122.72 = 455.64/x
  3. Step 3: Cross multiply
    747.36x = 1,122.72 × 455.64
  4. Step 4: Simplify right side
    747.36x = 511,556.14
  5. Step 5: Solve for x
    x = 511,556.14/747.36
  6. Step 6: Final answer
    x = 684.48

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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.