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Finding the Fourth Proportional to 1,020, 1,408.41 and 800.09

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Solution

The fourth proportional to 1,020, 1,408.41 and 800.09 is: 1,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020 : 1,408.41 = 800.09 : x
  2. Step 2: Convert to fraction form
    1,020/1,408.41 = 800.09/x
  3. Step 3: Cross multiply
    1,020x = 1,408.41 × 800.09
  4. Step 4: Simplify right side
    1,020x = 1,126,847.71
  5. Step 5: Solve for x
    x = 1,126,847.71/1,020
  6. Step 6: Final answer
    x = 1,104.75

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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.