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Finding the Fourth Proportional to 748.53, 1,033.02 and 417.08

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Solution

The fourth proportional to 748.53, 1,033.02 and 417.08 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.53 : 1,033.02 = 417.08 : x
  2. Step 2: Convert to fraction form
    748.53/1,033.02 = 417.08/x
  3. Step 3: Cross multiply
    748.53x = 1,033.02 × 417.08
  4. Step 4: Simplify right side
    748.53x = 430,854.56
  5. Step 5: Solve for x
    x = 430,854.56/748.53
  6. Step 6: Final answer
    x = 575.60

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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.