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Finding the Fourth Proportional to 748.58, 1,032.84 and 453.78

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Solution

The fourth proportional to 748.58, 1,032.84 and 453.78 is: 626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.58 : 1,032.84 = 453.78 : x
  2. Step 2: Convert to fraction form
    748.58/1,032.84 = 453.78/x
  3. Step 3: Cross multiply
    748.58x = 1,032.84 × 453.78
  4. Step 4: Simplify right side
    748.58x = 468,682.14
  5. Step 5: Solve for x
    x = 468,682.14/748.58
  6. Step 6: Final answer
    x = 626.09

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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.