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Finding the Fourth Proportional to 748.51, 1,032.81 and 416.89

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Solution

The fourth proportional to 748.51, 1,032.81 and 416.89 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.51 : 1,032.81 = 416.89 : x
  2. Step 2: Convert to fraction form
    748.51/1,032.81 = 416.89/x
  3. Step 3: Cross multiply
    748.51x = 1,032.81 × 416.89
  4. Step 4: Simplify right side
    748.51x = 430,563.00
  5. Step 5: Solve for x
    x = 430,563.00/748.51
  6. Step 6: Final answer
    x = 575.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.