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Finding the Fourth Proportional to 748.54, 1,033.00 and 417.00

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Solution

The fourth proportional to 748.54, 1,033.00 and 417.00 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.54 : 1,033.00 = 417.00 : x
  2. Step 2: Convert to fraction form
    748.54/1,033.00 = 417.00/x
  3. Step 3: Cross multiply
    748.54x = 1,033.00 × 417.00
  4. Step 4: Simplify right side
    748.54x = 430,760.37
  5. Step 5: Solve for x
    x = 430,760.37/748.54
  6. Step 6: Final answer
    x = 575.47

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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.