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Finding the Fourth Proportional to 937.16, 1,293.65 and 838.75

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Solution

The fourth proportional to 937.16, 1,293.65 and 838.75 is: 1,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.16 : 1,293.65 = 838.75 : x
  2. Step 2: Convert to fraction form
    937.16/1,293.65 = 838.75/x
  3. Step 3: Cross multiply
    937.16x = 1,293.65 × 838.75
  4. Step 4: Simplify right side
    937.16x = 1,085,044.65
  5. Step 5: Solve for x
    x = 1,085,044.65/937.16
  6. Step 6: Final answer
    x = 1,157.80

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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.