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Finding the Fourth Proportional to 750.18, 1,033.02 and 733.14

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Solution

The fourth proportional to 750.18, 1,033.02 and 733.14 is: 1,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.18 : 1,033.02 = 733.14 : x
  2. Step 2: Convert to fraction form
    750.18/1,033.02 = 733.14/x
  3. Step 3: Cross multiply
    750.18x = 1,033.02 × 733.14
  4. Step 4: Simplify right side
    750.18x = 757,348.28
  5. Step 5: Solve for x
    x = 757,348.28/750.18
  6. Step 6: Final answer
    x = 1,009.56

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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.