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Finding the Fourth Proportional to 1,374.48, 2,064.48 and 827.76

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Solution

The fourth proportional to 1,374.48, 2,064.48 and 827.76 is: 1,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.48 : 2,064.48 = 827.76 : x
  2. Step 2: Convert to fraction form
    1,374.48/2,064.48 = 827.76/x
  3. Step 3: Cross multiply
    1,374.48x = 2,064.48 × 827.76
  4. Step 4: Simplify right side
    1,374.48x = 1,708,893.96
  5. Step 5: Solve for x
    x = 1,708,893.96/1,374.48
  6. Step 6: Final answer
    x = 1,243.30

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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.