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Finding the Fourth Proportional to 827.50, 1,141.95 and 459.50

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Solution

The fourth proportional to 827.50, 1,141.95 and 459.50 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.50 : 1,141.95 = 459.50 : x
  2. Step 2: Convert to fraction form
    827.50/1,141.95 = 459.50/x
  3. Step 3: Cross multiply
    827.50x = 1,141.95 × 459.50
  4. Step 4: Simplify right side
    827.50x = 524,726.03
  5. Step 5: Solve for x
    x = 524,726.03/827.50
  6. Step 6: Final answer
    x = 634.11

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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.