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Finding the Fourth Proportional to 1,242.49, 1,862.92 and 694.73

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Solution

The fourth proportional to 1,242.49, 1,862.92 and 694.73 is: 1,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.49 : 1,862.92 = 694.73 : x
  2. Step 2: Convert to fraction form
    1,242.49/1,862.92 = 694.73/x
  3. Step 3: Cross multiply
    1,242.49x = 1,862.92 × 694.73
  4. Step 4: Simplify right side
    1,242.49x = 1,294,226.41
  5. Step 5: Solve for x
    x = 1,294,226.41/1,242.49
  6. Step 6: Final answer
    x = 1,041.64

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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.