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Finding the Fourth Proportional to 748.93, 1,033.66 and 434.15

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Solution

The fourth proportional to 748.93, 1,033.66 and 434.15 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.93 : 1,033.66 = 434.15 : x
  2. Step 2: Convert to fraction form
    748.93/1,033.66 = 434.15/x
  3. Step 3: Cross multiply
    748.93x = 1,033.66 × 434.15
  4. Step 4: Simplify right side
    748.93x = 448,763.49
  5. Step 5: Solve for x
    x = 448,763.49/748.93
  6. Step 6: Final answer
    x = 599.21

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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.