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Finding the Fourth Proportional to 748.92, 1,033.64 and 454.35

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Solution

The fourth proportional to 748.92, 1,033.64 and 454.35 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.92 : 1,033.64 = 454.35 : x
  2. Step 2: Convert to fraction form
    748.92/1,033.64 = 454.35/x
  3. Step 3: Cross multiply
    748.92x = 1,033.64 × 454.35
  4. Step 4: Simplify right side
    748.92x = 469,634.33
  5. Step 5: Solve for x
    x = 469,634.33/748.92
  6. Step 6: Final answer
    x = 627.08

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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.