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Finding the Fourth Proportional to 944.04, 1,302.63 and 540.23

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Solution

The fourth proportional to 944.04, 1,302.63 and 540.23 is: 745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.04 : 1,302.63 = 540.23 : x
  2. Step 2: Convert to fraction form
    944.04/1,302.63 = 540.23/x
  3. Step 3: Cross multiply
    944.04x = 1,302.63 × 540.23
  4. Step 4: Simplify right side
    944.04x = 703,719.80
  5. Step 5: Solve for x
    x = 703,719.80/944.04
  6. Step 6: Final answer
    x = 745.43

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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.