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Finding the Fourth Proportional to 937.49, 1,293.03 and 605.66

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Solution

The fourth proportional to 937.49, 1,293.03 and 605.66 is: 835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.49 : 1,293.03 = 605.66 : x
  2. Step 2: Convert to fraction form
    937.49/1,293.03 = 605.66/x
  3. Step 3: Cross multiply
    937.49x = 1,293.03 × 605.66
  4. Step 4: Simplify right side
    937.49x = 783,130.08
  5. Step 5: Solve for x
    x = 783,130.08/937.49
  6. Step 6: Final answer
    x = 835.35

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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.