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Finding the Fourth Proportional to 1,253.64, 1,878.40 and 814.87

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Solution

The fourth proportional to 1,253.64, 1,878.40 and 814.87 is: 1,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.64 : 1,878.40 = 814.87 : x
  2. Step 2: Convert to fraction form
    1,253.64/1,878.40 = 814.87/x
  3. Step 3: Cross multiply
    1,253.64x = 1,878.40 × 814.87
  4. Step 4: Simplify right side
    1,253.64x = 1,530,651.81
  5. Step 5: Solve for x
    x = 1,530,651.81/1,253.64
  6. Step 6: Final answer
    x = 1,220.97

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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.