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Finding the Fourth Proportional to 1,219, 1,682.34 and 753.40

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Solution

The fourth proportional to 1,219, 1,682.34 and 753.40 is: 1,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219 : 1,682.34 = 753.40 : x
  2. Step 2: Convert to fraction form
    1,219/1,682.34 = 753.40/x
  3. Step 3: Cross multiply
    1,219x = 1,682.34 × 753.40
  4. Step 4: Simplify right side
    1,219x = 1,267,474.96
  5. Step 5: Solve for x
    x = 1,267,474.96/1,219
  6. Step 6: Final answer
    x = 1,039.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.