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Finding the Fourth Proportional to 943.73, 1,302.27 and 540

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Solution

The fourth proportional to 943.73, 1,302.27 and 540 is: 745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.73 : 1,302.27 = 540 : x
  2. Step 2: Convert to fraction form
    943.73/1,302.27 = 540/x
  3. Step 3: Cross multiply
    943.73x = 1,302.27 × 540
  4. Step 4: Simplify right side
    943.73x = 703,225.80
  5. Step 5: Solve for x
    x = 703,225.80/943.73
  6. Step 6: Final answer
    x = 745.16

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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.