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Finding the Fourth Proportional to 934.03, 1,288.92 and 514.37

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Solution

The fourth proportional to 934.03, 1,288.92 and 514.37 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.03 : 1,288.92 = 514.37 : x
  2. Step 2: Convert to fraction form
    934.03/1,288.92 = 514.37/x
  3. Step 3: Cross multiply
    934.03x = 1,288.92 × 514.37
  4. Step 4: Simplify right side
    934.03x = 662,979.21
  5. Step 5: Solve for x
    x = 662,979.21/934.03
  6. Step 6: Final answer
    x = 709.80

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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.