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Finding the Fourth Proportional to 1,269.64, 1,902.44 and 857.24

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Solution

The fourth proportional to 1,269.64, 1,902.44 and 857.24 is: 1,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.64 : 1,902.44 = 857.24 : x
  2. Step 2: Convert to fraction form
    1,269.64/1,902.44 = 857.24/x
  3. Step 3: Cross multiply
    1,269.64x = 1,902.44 × 857.24
  4. Step 4: Simplify right side
    1,269.64x = 1,630,847.67
  5. Step 5: Solve for x
    x = 1,630,847.67/1,269.64
  6. Step 6: Final answer
    x = 1,284.50

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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.