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Finding the Fourth Proportional to 748.73, 1,032.84 and 453.93

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Solution

The fourth proportional to 748.73, 1,032.84 and 453.93 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.73 : 1,032.84 = 453.93 : x
  2. Step 2: Convert to fraction form
    748.73/1,032.84 = 453.93/x
  3. Step 3: Cross multiply
    748.73x = 1,032.84 × 453.93
  4. Step 4: Simplify right side
    748.73x = 468,837.06
  5. Step 5: Solve for x
    x = 468,837.06/748.73
  6. Step 6: Final answer
    x = 626.18

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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.