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Finding the Fourth Proportional to 748.86, 1,033.22 and 434.06

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Solution

The fourth proportional to 748.86, 1,033.22 and 434.06 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.86 : 1,033.22 = 434.06 : x
  2. Step 2: Convert to fraction form
    748.86/1,033.22 = 434.06/x
  3. Step 3: Cross multiply
    748.86x = 1,033.22 × 434.06
  4. Step 4: Simplify right side
    748.86x = 448,476.06
  5. Step 5: Solve for x
    x = 448,476.06/748.86
  6. Step 6: Final answer
    x = 598.88

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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.