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Finding the Fourth Proportional to 748.36, 1,032.10 and 453.64

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Solution

The fourth proportional to 748.36, 1,032.10 and 453.64 is: 625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.36 : 1,032.10 = 453.64 : x
  2. Step 2: Convert to fraction form
    748.36/1,032.10 = 453.64/x
  3. Step 3: Cross multiply
    748.36x = 1,032.10 × 453.64
  4. Step 4: Simplify right side
    748.36x = 468,201.84
  5. Step 5: Solve for x
    x = 468,201.84/748.36
  6. Step 6: Final answer
    x = 625.64

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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.