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Finding the Fourth Proportional to 1,120.84, 1,682.70 and 776.44

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Solution

The fourth proportional to 1,120.84, 1,682.70 and 776.44 is: 1,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.84 : 1,682.70 = 776.44 : x
  2. Step 2: Convert to fraction form
    1,120.84/1,682.70 = 776.44/x
  3. Step 3: Cross multiply
    1,120.84x = 1,682.70 × 776.44
  4. Step 4: Simplify right side
    1,120.84x = 1,306,515.59
  5. Step 5: Solve for x
    x = 1,306,515.59/1,120.84
  6. Step 6: Final answer
    x = 1,165.66

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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.