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Finding the Fourth Proportional to 937.13, 1,292.03 and 768.45

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Solution

The fourth proportional to 937.13, 1,292.03 and 768.45 is: 1,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.13 : 1,292.03 = 768.45 : x
  2. Step 2: Convert to fraction form
    937.13/1,292.03 = 768.45/x
  3. Step 3: Cross multiply
    937.13x = 1,292.03 × 768.45
  4. Step 4: Simplify right side
    937.13x = 992,856.61
  5. Step 5: Solve for x
    x = 992,856.61/937.13
  6. Step 6: Final answer
    x = 1,059.47

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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.