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Finding the Fourth Proportional to 962.94, 1,328.92 and 543.33

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Solution

The fourth proportional to 962.94, 1,328.92 and 543.33 is: 749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.94 : 1,328.92 = 543.33 : x
  2. Step 2: Convert to fraction form
    962.94/1,328.92 = 543.33/x
  3. Step 3: Cross multiply
    962.94x = 1,328.92 × 543.33
  4. Step 4: Simplify right side
    962.94x = 722,042.10
  5. Step 5: Solve for x
    x = 722,042.10/962.94
  6. Step 6: Final answer
    x = 749.83

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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.