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Finding the Fourth Proportional to 1,600.84, 2,207.00 and 1,069.79

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Solution

The fourth proportional to 1,600.84, 2,207.00 and 1,069.79 is: 1,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.84 : 2,207.00 = 1,069.79 : x
  2. Step 2: Convert to fraction form
    1,600.84/2,207.00 = 1,069.79/x
  3. Step 3: Cross multiply
    1,600.84x = 2,207.00 × 1,069.79
  4. Step 4: Simplify right side
    1,600.84x = 2,361,018.17
  5. Step 5: Solve for x
    x = 2,361,018.17/1,600.84
  6. Step 6: Final answer
    x = 1,474.86

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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.