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Finding the Fourth Proportional to 748.96, 1,033.59 and 417.36

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Solution

The fourth proportional to 748.96, 1,033.59 and 417.36 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.96 : 1,033.59 = 417.36 : x
  2. Step 2: Convert to fraction form
    748.96/1,033.59 = 417.36/x
  3. Step 3: Cross multiply
    748.96x = 1,033.59 × 417.36
  4. Step 4: Simplify right side
    748.96x = 431,384.56
  5. Step 5: Solve for x
    x = 431,384.56/748.96
  6. Step 6: Final answer
    x = 575.98

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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.