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Finding the Fourth Proportional to 748.85, 1,033.34 and 434.05

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Solution

The fourth proportional to 748.85, 1,033.34 and 434.05 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.85 : 1,033.34 = 434.05 : x
  2. Step 2: Convert to fraction form
    748.85/1,033.34 = 434.05/x
  3. Step 3: Cross multiply
    748.85x = 1,033.34 × 434.05
  4. Step 4: Simplify right side
    748.85x = 448,516.47
  5. Step 5: Solve for x
    x = 448,516.47/748.85
  6. Step 6: Final answer
    x = 598.94

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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.