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Finding the Fourth Proportional to 1,237.70, 1,854.02 and 827.03

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Solution

The fourth proportional to 1,237.70, 1,854.02 and 827.03 is: 1,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.70 : 1,854.02 = 827.03 : x
  2. Step 2: Convert to fraction form
    1,237.70/1,854.02 = 827.03/x
  3. Step 3: Cross multiply
    1,237.70x = 1,854.02 × 827.03
  4. Step 4: Simplify right side
    1,237.70x = 1,533,316.76
  5. Step 5: Solve for x
    x = 1,533,316.76/1,237.70
  6. Step 6: Final answer
    x = 1,238.85

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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.