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Finding the Fourth Proportional to 1,237.48, 1,855.86 and 806.92

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Solution

The fourth proportional to 1,237.48, 1,855.86 and 806.92 is: 1,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.48 : 1,855.86 = 806.92 : x
  2. Step 2: Convert to fraction form
    1,237.48/1,855.86 = 806.92/x
  3. Step 3: Cross multiply
    1,237.48x = 1,855.86 × 806.92
  4. Step 4: Simplify right side
    1,237.48x = 1,497,530.55
  5. Step 5: Solve for x
    x = 1,497,530.55/1,237.48
  6. Step 6: Final answer
    x = 1,210.15

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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.