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Finding the Fourth Proportional to 938.16, 1,293.90 and 716.76

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Solution

The fourth proportional to 938.16, 1,293.90 and 716.76 is: 988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,293.90 = 716.76 : x
  2. Step 2: Convert to fraction form
    938.16/1,293.90 = 716.76/x
  3. Step 3: Cross multiply
    938.16x = 1,293.90 × 716.76
  4. Step 4: Simplify right side
    938.16x = 927,415.76
  5. Step 5: Solve for x
    x = 927,415.76/938.16
  6. Step 6: Final answer
    x = 988.55

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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.