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Finding the Fourth Proportional to 1,469.84, 2,205.86 and 776.39

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Solution

The fourth proportional to 1,469.84, 2,205.86 and 776.39 is: 1,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.84 : 2,205.86 = 776.39 : x
  2. Step 2: Convert to fraction form
    1,469.84/2,205.86 = 776.39/x
  3. Step 3: Cross multiply
    1,469.84x = 2,205.86 × 776.39
  4. Step 4: Simplify right side
    1,469.84x = 1,712,592.73
  5. Step 5: Solve for x
    x = 1,712,592.73/1,469.84
  6. Step 6: Final answer
    x = 1,165.16

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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.