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Finding the Fourth Proportional to 937.29, 1,293.64 and 539.22

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Solution

The fourth proportional to 937.29, 1,293.64 and 539.22 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.29 : 1,293.64 = 539.22 : x
  2. Step 2: Convert to fraction form
    937.29/1,293.64 = 539.22/x
  3. Step 3: Cross multiply
    937.29x = 1,293.64 × 539.22
  4. Step 4: Simplify right side
    937.29x = 697,557.23
  5. Step 5: Solve for x
    x = 697,557.23/937.29
  6. Step 6: Final answer
    x = 744.23

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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.