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Finding the Fourth Proportional to 937.59, 1,294.97 and 716.06

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Solution

The fourth proportional to 937.59, 1,294.97 and 716.06 is: 988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.59 : 1,294.97 = 716.06 : x
  2. Step 2: Convert to fraction form
    937.59/1,294.97 = 716.06/x
  3. Step 3: Cross multiply
    937.59x = 1,294.97 × 716.06
  4. Step 4: Simplify right side
    937.59x = 927,266.16
  5. Step 5: Solve for x
    x = 927,266.16/937.59
  6. Step 6: Final answer
    x = 988.99

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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.