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Finding the Fourth Proportional to 1,093.50, 1,641.06 and 516.38

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Solution

The fourth proportional to 1,093.50, 1,641.06 and 516.38 is: 774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.50 : 1,641.06 = 516.38 : x
  2. Step 2: Convert to fraction form
    1,093.50/1,641.06 = 516.38/x
  3. Step 3: Cross multiply
    1,093.50x = 1,641.06 × 516.38
  4. Step 4: Simplify right side
    1,093.50x = 847,402.36
  5. Step 5: Solve for x
    x = 847,402.36/1,093.50
  6. Step 6: Final answer
    x = 774.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.