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Finding the Fourth Proportional to 934, 1,288.95 and 514.38

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Solution

The fourth proportional to 934, 1,288.95 and 514.38 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    934 : 1,288.95 = 514.38 : x
  2. Step 2: Convert to fraction form
    934/1,288.95 = 514.38/x
  3. Step 3: Cross multiply
    934x = 1,288.95 × 514.38
  4. Step 4: Simplify right side
    934x = 663,010.10
  5. Step 5: Solve for x
    x = 663,010.10/934
  6. Step 6: Final answer
    x = 709.86

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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.