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Finding the Fourth Proportional to 927.50, 1,279.96 and 513.50

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Solution

The fourth proportional to 927.50, 1,279.96 and 513.50 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.50 : 1,279.96 = 513.50 : x
  2. Step 2: Convert to fraction form
    927.50/1,279.96 = 513.50/x
  3. Step 3: Cross multiply
    927.50x = 1,279.96 × 513.50
  4. Step 4: Simplify right side
    927.50x = 657,259.46
  5. Step 5: Solve for x
    x = 657,259.46/927.50
  6. Step 6: Final answer
    x = 708.64

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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.