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Finding the Fourth Proportional to 1,802.25, 2,704.46 and 776.25

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Solution

The fourth proportional to 1,802.25, 2,704.46 and 776.25 is: 1,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.25 : 2,704.46 = 776.25 : x
  2. Step 2: Convert to fraction form
    1,802.25/2,704.46 = 776.25/x
  3. Step 3: Cross multiply
    1,802.25x = 2,704.46 × 776.25
  4. Step 4: Simplify right side
    1,802.25x = 2,099,333.19
  5. Step 5: Solve for x
    x = 2,099,333.19/1,802.25
  6. Step 6: Final answer
    x = 1,164.84

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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.