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Finding the Fourth Proportional to 937.24, 1,293.40 and 511.90

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Solution

The fourth proportional to 937.24, 1,293.40 and 511.90 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.24 : 1,293.40 = 511.90 : x
  2. Step 2: Convert to fraction form
    937.24/1,293.40 = 511.90/x
  3. Step 3: Cross multiply
    937.24x = 1,293.40 × 511.90
  4. Step 4: Simplify right side
    937.24x = 662,091.46
  5. Step 5: Solve for x
    x = 662,091.46/937.24
  6. Step 6: Final answer
    x = 706.43

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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.