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Finding the Fourth Proportional to 1,232.94, 1,849.49 and 502.50

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Solution

The fourth proportional to 1,232.94, 1,849.49 and 502.50 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.94 : 1,849.49 = 502.50 : x
  2. Step 2: Convert to fraction form
    1,232.94/1,849.49 = 502.50/x
  3. Step 3: Cross multiply
    1,232.94x = 1,849.49 × 502.50
  4. Step 4: Simplify right side
    1,232.94x = 929,366.21
  5. Step 5: Solve for x
    x = 929,366.21/1,232.94
  6. Step 6: Final answer
    x = 753.78

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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.